And what for a good news! The hacker Planetbeing said he has his iPhone 5 running on iOs 6.0.2 with an untethered jailbreak. He said that MobileSubstrate is perfectly working on it, which is a good thing because it’s for the stability of the jailbreak.
He explained that this jailbreak wouldn’t be public right now, because if they do so, Apple would break the vulnerabilities. He also said that some vulnerabilities could be broken in iOs 6.1, but he used 4 vulnerabilities and has two more vulnerabilities.
We just have to wait until the iOs 6.1 is released for everybody and that they make the jailbreak work.