Found with PFGW Version 3.7.5

119^6722-6722^119 is 2-PRP! (7.1934s+0.0036s)
119^6722-6722^119 is 3-PRP! (7.2489s+0.0045s)
119^6722-6722^119 is 5-PRP! (7.1407s+0.0033s)
119^6722-6722^119 is 7-PRP! (6.5238s+0.0032s)
119^6722-6722^119 is 11-PRP! (6.7496s+0.0036s)

Primality testing 119^6722-6722^119 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.06% and helper 0.03% (0.23% proof)
119^6722-6722^119 is Fermat and Lucas PRP! (32.2719s+0.0036s)

To be completed...