Prime p₀= 1270351913316065639 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: AlexxSaigon
db: batch=77, k=12, 2 10 2 28 2 4

SPT(16)	1270350755988141797	0 14 60 90 140 156 242 296 300 354 440 456 506 536 582 596	-1157327923842
SPT(16)	1270350902125919563	0 10 28 34 48 70 124 148 180 204 258 280 294 300 318 328	-1011190146076
SPT(16)	1270351197707084027	0 2 42 66 110 120 132 146 156 170 182 192 236 260 300 302	-715608981612
STPT(10)	1270351349427223487	0 2 30 32 72 74 114 116 144 146	-563888842152
SPT(16)	1270351833969133147	0 4 24 46 82 102 126 136 180 190 214 234 270 292 312 316	-79346932492
STPT(10)	1270351870141222151	0 2 6 8 48 50 90 92 96 98	-43174843488
SPT(16)	1270352012378401741	0 66 148 180 210 216 222 232 276 286 292 298 328 360 442 508	99062336102
SPT(16)	1270352068005110533	0 6 18 48 58 84 88 100 144 156 160 186 196 226 238 244	154689044894
STPT(10)	1270352220271405937	0 2 30 32 42 44 54 56 84 86	306955340298
SPT(16)	1270352340252793753	0 48 54 106 120 124 168 216 238 286 330 334 348 400 406 454	426936728114
SPT(16)	1270352467418808461	0 6 18 32 78 122 168 228 230 290 336 380 426 440 452 458	554102742822