Found with PFGW Version 3.7.5

2362^12167+12167^2362 is 2-PRP! (75.6078s+0.0037s)
2362^12167+12167^2362 is 3-PRP! (78.3290s+0.0032s)
2362^12167+12167^2362 is 5-PRP! (76.9646s+0.0031s)
2362^12167+12167^2362 is 7-PRP! (84.2822s+0.0038s)
2362^12167+12167^2362 is 11-PRP! (91.2787s+0.0026s)

Primality testing 2362^12167+12167^2362 [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 0.03% and helper 0.03% (0.11% proof)
2362^12167+12167^2362 is Fermat and Lucas PRP! (487.1782s+0.0036s)

To be completed...