Ok, I'm totally not sold on the name, so please recommend another one... .
My current naming idea is to call it the Master Jedi award. The message could be something along the lines of: The user has felt the force among our empire...
I'm thinking this "Master Jedi" badge would given to users who max out their reputation on 3 of the 4 SO sites in a couple day period (2 to 3 days). The badge would be awarded in each of the user's profiles where their rep was maxed out.
I think that this should at least be a silver badge, but could certainly be a gold.