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 soul and body are generated together at birth

If the flesh be the old man, when did it become so? From the beginning? But Adam was wholly a new man, and of that new man there could be no part an old man.  And from that time, ever since the blessing which was pronounced upon man’s generation, the flesh and the soul have had a simultaneous birth, without any calculable difference in time; so that the two have been even generated together in the womb, as we have shown in our Treatise on the Soul.

Tertullian
On the Resurrection of the Flesh
Chapter XLV

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

Hell is eternally experienced in the body

If, therefore, any one shall violently suppose that the destruction of the soul and the flesh in hell amounts to a final annihilation of the two substances, and not to their penal treatment (as if they were to be consumed, not punished), let him recollect that the fire of hell is eternal—expressly announced as an everlasting penalty; and let him then admit that it is from this circumstance that this never-ending “killing” is more formidable than a merely human murder, which is only temporal. He will then come to the conclusion that substances must be eternal, when their penal “killing” is an eternal one. Since, then, the body after the resurrection has to be killed by God in hell along with the soul, we surely have sufficient information in this fact respecting both the issues which await it, namely the resurrection of the flesh, and its eternal “killing.” Else it would be most absurd if the flesh should be raised up and destined to “the killing in hell,” in order to be put an end to, when it might suffer such an annihilation (more directly) if not raised again at all.

Tertullian
On the Resurrection of the Flesh
Chapter XXXV

The soul and body are both realities, neither can be allegorized

Since, however, things which belong to the soul have nothing allegorical in them, neither therefore have those which belong to the body. For man is as much body as he is soul; so that it is impossible for one of these natures to admit a figurative sense, and the other to exclude it.

Tertullian
On the Resurrection of the Flesh
Chapter XXXII

Allegory is sometimes valid, but often is used to avoid an obvious literal interpretation

Who would prefer affixing a metaphorical interpretation to all these events, instead of accepting their literal truth? The realities are involved in the words, just as the words are read in the realities.  Thus, then, (we find that) the allegorical style is not used in all parts of the prophetic record, although it occasionally occurs in certain portions of it.

Tertullian
On the Resurrection of the Flesh
Chapter XX

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