Prime p₀= 57419811236257997 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 10 2 10 2 (?)
a_n: 0 2 42 44 60 62 90 92 102 104 114 116
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: 116
Found by: stoneageman
db: batch=67, k=12, 40 16 28 10 10

SPT(14)	57419724869798351	0 2 12 78 86 90 146 162 218 222 230 296 306 308	-86366459646
TPT(12)	57419736076180991	0 2 78 80 216 218 258 260 270 272 300 302	-75160077006
SPT(14)	57419756861997437	0 6 20 32 50 140 162 164 186 276 294 306 320 326	-54374260560
SPT(14)	57419771318742037	0 52 60 66 72 106 126 130 150 184 190 196 204 256	-39917515960
SPT(14)	57419772652588733	0 18 44 56 104 144 156 158 170 210 258 270 296 314	-38583669264
SPT(14)	57419798799288089	0 14 30 48 50 80 84 128 132 162 164 182 198 212	-12436969908
SPT(14)	57419814506767331	0 2 36 38 48 50 56 72 78 80 90 92 126 128	3270509334
SPT(14)	57419826208409053	0 58 126 154 160 168 198 226 256 264 270 298 366 424	14972151056
SPT(14)	57419829211470919	0 70 90 124 142 154 160 162 168 180 198 232 252 322	17975212922
SPT(14)	57419837427634379	0 18 24 42 68 80 92 210 222 234 260 278 284 302	26191376382
SPT(14)	57419838887740129	0 22 54 64 82 94 124 138 168 180 198 208 240 262	27651482132