The oldest civilization is right there where the Bible said it was in Sumer. Lots of people theorize, not just Biblical scholars, that Gilgamesh and Nimrod of the Bible were one and the same person.

Now, the oldest stuff that has been found yet indicating civilization of a sorts has been found more recently here: Gobekli tepe Which interestingly, is on the plains of Turkey. Right where the Bible says Noah's people first went after the flood. Interestingly, amazingly accurate carvings of animals, some not native to the region at all, are a prominent feature of these artifacts.