In what year did the group of Azlanti time-jump ahead 10,000 years, and did it have anything to do with Runelord Alaznist's temporal tampering?
If you are referring to the population of in Xin-Edasseril which is now part of New Thassilon, the 'jump' was from -5293 AR (Earthfall) to 4718 AR. It's indirectly related to Alaznist's manipulations
Xin-Edasseril ended stuck in a temporal loop, repeating the week before Earthfall again and again for 10,000 years (the inhabitant had no memories of the loop). The physical manifestation of the loop on Golarion was the crystal dome of Crystilan, impervious to all forces and impossible to enter, or so it seemed.
As part of the events of Return of the Runelords, the loop became unstable and one of the objectives of the fifth scenario when entering the City Outside of Time is to break the loop and allow Xin-Edasseril to return on Golarion, which was a success in the official timeline