Found with PFGW Version 3.6.0

3068^6219-6219^3068 is 2-PRP! (20.8295s+0.0023s)
3068^6219-6219^3068 is 3-PRP! (20.8110s+0.0023s)
3068^6219-6219^3068 is 5-PRP! (20.8489s+0.0024s)
3068^6219-6219^3068 is 7-PRP! (21.0077s+0.0025s)
3068^6219-6219^3068 is 11-PRP! (20.8725s+0.0045s)

Primality testing 3068^6219-6219^3068 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
3068^6219-6219^3068 is Fermat and Lucas PRP! (100.2148s+0.0024s)

To be completed...