That, supposedly, is a bit of misinformation spread by NAMBLA types. The Greeks apparently didn't care for too large an age gap in pederastic relationships, and 16 was roughly considered to be the socially acceptable age to begin one.

Not great by modern standards but certainly better than some, and better than they treated women who were often considered marriable at 14. Though at least that was better than the Roman 12, and Aristotle even argued that 21 was the most appropriate age for healthy children (fertility periods being their primary concern)