HI!
If I go to the link you gave I will only find update for CS6 13.0.1.1 from 9/27/12, and I have downloaded update CS6 13.01.2 (6/3/13) from an other ADOBE site, and this update will not be accepted as an new update.
Perhaps because I will have it in Swedish?
I already have the update CS6 13.0.1.1!
Have you got another idea to solve this problem?