Further, the "historical Noah tale" believers appear to mostly be unaware that it is a distorted version of an earlier Middle Eastern fable, the "Epic of Gilgamesh", reworked as a morality story of divine retribution for the sins of men. About the only people who don't accept that the Noah story is derived from the Epic of Gilgamesh are Christian Young Earth Creationists. Everyone else, believer or not, accepts the mainstream dating of the two stories.
http://www.icr.org/index.php?module=articles&action=view&ID=414
Where do your get your 7th century date? "The actual tablets date back to around 650 BC and are obviously not originals since fragments of the flood story have been found on tablets dated around 2,000 BC"