Ah but Paul did stick with Genesis. Look at the order of the figures mentioned. It is in order:
Now faith is the assurance of things hoped for, the conviction of things not seen. 2 For by it the men of old gained approval. 3 By faith we understand that the worlds were prepared by the word of God, so that what is seen was not made out of things which are visible. 4 By faith Abel offered to God a better sacrifice than Cain, through which he obtained the testimony that he was righteous, God testifying about his gifts, and through faith, though he is dead, he still speaks. 5 By faith Enoch was taken up so that he would not see death; and he was not found because God took him up; for he obtained the witness that before his being taken up he was pleasing to God. 6 And without faith it is impossible to please Him, for he who comes to God must believe that He is and that He is a rewarder of those who seek Him. 7 By faith Noah, being warned by God about things not yet seen, in reverence prepared an ark for the salvation of his household, by which he condemned the world, and became an heir of the righteousness which is according to faith. 8 By faith Abraham, when he was called, obeyed by going out to a place which he was to receive for an inheritance; and he went out, not knowing where he was going.
He stuck with the historical sequence of the patriarchs.