Name - Naomily
Class - Guardian
Record - 2481.35 DPS
Record - 2258029 Damage
Picture - http://i.imgur.com/aGAqRmh.jpg
Screenshot was sorted by medals so damage and healing values for the match are all over the place if any other records might be present like heals or something.
http://www.swtor.com/community/showthread.php?t=773614
There is already a thread for this, it is also largely ignored because no one wants to queue. (unless its after 12 am apparently).