How to Jailbreak new iPhone 3GS?

Recently fixed an old iphone through apple (where they basically force you to buy a new one)

anyway my new iphone is now on baseband 5.16.08 and running iOS 6.1.2.

i've been scouring the internet looking for ways to jailbreak my new device however to no avail, as most tutorials are for iphone made before week 32 of 2011:(
i was wondering if at all possible to jailbreak my phone (tehtered or untethered) and if so if someone could give me a little help, i.e an explanation or a link to a tutorial (very unlikely… I've tried really hard)

Added (1). Due to clever richards, i must add, i have SCOURED, i repeat SCOURED the internet (youtube, google, forumns etc. ) to NO avail any real help in the form of a link would be greatly appreciated

Youtube