Found with PFGW Version 3.7.5

8168^10929-10929^8168 is 2-PRP! (36.7427s+0.0018s)
8168^10929-10929^8168 is 3-PRP! (37.6202s+0.0020s)
8168^10929-10929^8168 is 5-PRP! (37.6341s+0.0020s)
8168^10929-10929^8168 is 7-PRP! (37.7596s+0.0020s)
8168^10929-10929^8168 is 11-PRP! (38.4660s+0.0018s)

Primality testing 8168^10929-10929^8168 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.04% proof)
8168^10929-10929^8168 is Fermat and Lucas PRP! (184.5492s+0.0029s)

To be completed...