Prime p₀= 2786058034133391287 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 28 2 124 2 28 2 52 2 (?)
a_n: 0 2 54 56 84 86 210 212 240 242 294 296
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: 296
Found by: fzs600
db: batch=82, k=12, 2 52 2 28 2 124

STPT(10)	2786056190945624381	0 2 36 38 78 80 120 122 156 158	-1843187766906
SPT(16)	2786056402238499263	0 18 38 60 66 84 86 98 156 168 170 188 194 216 236 254	-1631894892024
SPT(16)	2786056960023966491	0 2 38 48 92 150 212 218 282 288 350 408 452 462 498 500	-1074109424796
SPT(13)	2786057208884072351	0 18 30 120 186 210 228 246 270 336 426 438 456	-825249318936
STPT(10)	2786057625359035997	0 2 30 32 72 74 114 116 144 146	-408774355290
SPT(16)	2786057868327736501	0 22 48 100 102 108 118 156 232 270 280 286 288 340 366 388	-165805654786
SPT(16)	2786058079654436179	0 60 88 90 154 178 238 258 274 294 354 378 442 444 472 532	45521044892
SPT(16)	2786058220079222141	0 6 20 42 56 62 170 180 188 198 306 312 326 348 362 368	185945830854
SPT(16)	2786058313623456713	0 44 50 80 98 128 164 210 254 300 336 366 384 414 420 464	279490065426
STPT(10)	2786058498155335589	0 2 18 20 30 32 42 44 60 62	464021944302
SPT(16)	2786058840679046663	0 44 78 80 98 134 146 170 174 198 210 246 264 266 300 344	806545655376