Prime p₀= 7395875283109931 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 118 2 4 2 28 2 10 2 88 2 (?)
a_n: 0 2 120 122 126 128 156 158 168 170 258 260
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 260
Found by: Roadranner
db: batch=62, k=12, 118 4 28 10 88

SPT(14)	7395835019572561	0 6 22 48 78 100 112 156 168 190 220 246 262 268	-40263537370
SPT(14)	7395837578431441	0 52 60 66 96 102 150 172 220 226 256 262 270 322	-37704678490
SPT(14)	7395853970873983	0 6 28 40 58 70 108 118 156 168 186 198 220 226	-21312235948
SPT(16)	7395859913226991	0 12 22 72 82 96 112 118 120 126 142 156 166 216 226 238	-15369882940
SPT(14)	7395868980247271	0 18 72 80 98 108 140 210 242 252 270 278 332 350	-6302862660
SPT(14)	7395869948203159	0 78 82 100 184 210 252 280 322 348 432 450 454 532	-5334906772
SPT(14)	7395875862223987	0 12 34 40 46 76 112 144 180 210 216 222 244 256	579114056
SPT(14)	7395876358037599	0 4 12 42 60 64 78 94 108 112 130 160 168 172	1074927668
SPT(14)	7395876748508251	0 6 28 42 58 66 72 76 82 90 106 120 142 148	1465398320
SPT(14)	7395882308513323	0 18 34 36 60 70 76 78 84 94 118 120 136 154	7025403392
TPT(12)	7395892895483501	0 2 6 8 48 50 78 80 90 92 126 128	17612373570