Found with PFGW Version 3.8.0

7022^13211-13211^7022 is 2-PRP! (46.8599s+0.0097s)
7022^13211-13211^7022 is 3-PRP! (47.0050s+0.0105s)
7022^13211-13211^7022 is 5-PRP! (47.6540s+0.0098s)
7022^13211-13211^7022 is 7-PRP! (46.9112s+0.0101s)
7022^13211-13211^7022 is 11-PRP! (47.0923s+0.0099s)

Primality testing 7022^13211-13211^7022 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
7022^13211-13211^7022 is Fermat and Lucas PRP! (291.7604s+0.0107s)

To be completed...