The Order of the Twin Suns was a Jedi Order styled after the teachings of Master Voren Redden, and Lus'aris with the intent to discover the strange connections in The Force between the fate of the galaxy and Tatooine.
Founded on Tatooine in 137 ABY the order was a small home to many non human Jedi. The order was regularly under attack by Imperials and Sith. Though they held strong against those threats, the order was eventually forced to flee Tatooine, after a group of 'grey Jedi' called The Force Mos Eisley stole their temple from them.
They were rumoured to have moved on Yavin 13 for a time, but the current fate of the order is unknown.