The same flesh that died is raised, otherwise the example of the seed makes no sense

Let us now see in what body he asserts that the dead will come. And with a felicitous sally he proceeds at once to illustrate the point, as if an objector had plied him with some such question.  “Thou fool,” says he, “that which thou sowest is not quickened, except it die.” From this example of the seed it is then evident that no other flesh is quickened than that which shall have undergone death, and therefore all the rest of the question will become clear enough. For nothing which is incompatible with the idea suggested by the example can possibly be understood; nor from the clause which follows, “That which thou sowest, thou sowest not the body which shall be,” are you permitted to suppose that in the resurrection a different body is to arise from that which is sown in death.  Otherwise you have run away from the example.

…Cleave firmly then to the example, and keep it well in view, as a mirror of what happens to the flesh: believe that the very same flesh which was once sown in death will bear fruit in resurrection-life—the same in essence, only more full and perfect; not another, although reappearing in another form.

Tertullian
On the Resurrection of the Flesh
Chapter LII

Christ has carried his flesh into heaven as a sign that ours will also reside in heaven

Jesus is still sitting there at the right hand of the Father, man, yet God—the last Adam, yet the primary Word—flesh and blood, yet purer than ours—who “shall descend in like manner as He ascended into heaven” the same both in substance and form, as the angels affirmed, so as even to be recognised by those who pierced Him. Designated, as He is, “the Mediator between God and man,” He keeps in His own self the deposit of the flesh which has been committed to Him by both parties—the pledge and security of its entire perfection. For as “He has given to us the earnest of the Spirit,” so has He received from us the earnest of the flesh, and has carried it with Him into heaven as a pledge of that complete entirety which is one day to be restored to it. Be not disquieted, O flesh and blood, with any care; in Christ you have acquired both heaven and the kingdom of God. Otherwise, if they say that you are not in Christ, let them also say that Christ is not in heaven, since they have denied you heaven.

Tertullian
On the Resurrection of the Flesh
Chapter LI

Christ rose again in the same body and so will we

How then did Christ rise again? In the flesh, or not? No doubt, since you are told that He “died according to the Scriptures,” and “that He was buried according to the Scriptures,” no otherwise than in the flesh, you will also allow that it was in the flesh that He was raised from the dead. For the very same body which fell in death, and which lay in the sepulchre, did also rise again; (and it was) not so much Christ in the flesh, as the flesh in Christ. If, therefore, we are to rise again after the example of Christ, who rose in the flesh, we shall certainly not rise according to that example, unless we also shall ourselves rise again in the flesh.

Tertullian
On the Resurrection of the Flesh
Chapter XLVIII

The reason the Athenians rejected Paul was because he taught a bodily resurrection, not an allegory

He declared it then to be of such a character as the Pharisees had admitted it, and such as the Lord had Himself maintained it, and such too as the Sadducees refused to believe it—such refusal leading them indeed to an absolute rejection of the whole verity. Nor had the Athenians previously understood Paul to announce any other resurrection. They had, in fact, derided his announcement; but they would have indulged no such derision if they had heard from him nothing but the restoration of the soul, for they would have received that as the very common anticipation of their own native philosophy.

Tertullian
On the Resurrection of the Flesh
Chapter XXXIX

Heretics spiritualize everything, even death

For some, when they have alighted on a very usual form of prophetic statement, generally expressed in figure and allegory, though not always, distort into some imaginary sense even the most clearly described doctrine of the resurrection of the dead, alleging that even death itself must be understood in a spiritual sense.

Tertullian
On the Resurrection of the Flesh
Chapter XIX

The very word Resurrection indicates a raising up again of the body

Now, just as the term resurrection is predicated of that which falls—that is, the flesh—so will there be the same application of the word dead, because what is called “the resurrection of the dead” indicates the rising up again of that which is fallen down. We learn this from the case of Abraham, the father of the faithful, a man who enjoyed close intercourse with God. For when he requested of the sons of Heth a spot to bury Sarah in, he said to them, “Give me the possession of a burying place with you, that I may bury my dead,”—meaning, of course, her flesh; for he could not have desired a place to bury her soul in, even if the soul is to be deemed mortal, and even if it could bear to be described by the word “dead.” Since, then, this word indicates the body, it follows that when “the resurrection of the dead” is spoken of, it is the rising again of men’s bodies that is meant.

Tertullian
On the Resurrection of the Flesh
Chapter XVIII

Man must appear at the judgment in both body and soul

Thus it follows that the fulness and perfection of the judgment consists simply in representing the interests of the entire human being. Now, since the entire man consists of the union of the two natures, he must therefore appear in both, as it is right that he should be judged in his entirety; nor, of course, did he pass through life except in his entire state.  As therefore he lived, so also must he be judged, because he has to be judged concerning the way in which he lived. For life is the cause of judgment, and it must undergo investigation in as many natures as it possessed when it discharged its vital functions.

Tertullian
On the Resurrection of the Flesh
Chapter XIV

Creation is filled with symbols of the Resurrection

In a word, I would say, all creation is instinct with renewal. Whatever you may chance upon, has already existed; whatever you have lost, returns again without fail. All things return to their former state, after having gone out of sight; all things begin after they have ended; they come to an end for the very purpose of coming into existence again. Nothing perishes but with a view to salvation. The whole, therefore, of this revolving order of things bears witness to the resurrection of the dead. In His works did God write it, before He wrote it in the Scriptures; He proclaimed it in His mighty deeds earlier than in His inspired words.

Tertullian
On the Resurrection of the Flesh
Chapter XII

God the Word created flesh as an image of his coming in the flesh later in time

For, whatever was the form and expression which was then given to the clay (by the Creator) Christ was in His thoughts as one day to become man, because the Word, too, was to be both clay and flesh, even as the earth was then.  For so did the Father previously say to the Son: “Let us make man in our own image, after our likeness.” And God made man, that is to say, the creature which He moulded and fashioned; after the image of God (in other words, of Christ) did He make him. And the Word was God also, who being in the image of God, “thought it not robbery to be equal to God.” Thus, that clay which was even then putting on the image of Christ, who was to come in the flesh, was not only the work, but also the pledge and surety, of God.

Tertullian
On the Resurrection of the Flesh
Chapter VI

God’s promises are to both body and soul

“And He breathed upon his face the breath of life, and man (that is, the clay) became a living soul; and God placed the man whom He had formed in the garden.” So that man was clay at first, and only afterwards man entire. I wish to impress this on your attention, with a view to your knowing, that whatever God has at all purposed or promised to man, is due not to the soul simply, but to the flesh also; if not arising out of any community in their origin, yet at all events by the privilege possessed by the latter in its name.

Tertullian
On the Resurrection of the Flesh
Chapter V