Prime p₀= 1251154946596462727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 34 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 120 122 180 182 204 206
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: 206
Found by: Theadalus
db: batch=77, k=12, 2 22 2 58 2 34

SPT(16)	1251154599210703717	0 6 54 70 82 112 126 210 286 370 384 414 426 442 490 496	-347385759010
SPT(16)	1251154619472344491	0 10 16 42 58 66 112 130 168 186 232 240 256 282 288 298	-327124118236
STPT(10)	1251154753769616671	0 2 96 98 108 110 120 122 216 218	-192826846056
SPT(16)	1251154796509797947	0 36 42 104 110 140 150 206 330 386 396 426 432 494 500 536	-150086664780
STPT(10)	1251154827959163221	0 2 6 8 48 50 90 92 96 98	-118637299506
STPT(10)	1251154899652805177	0 2 30 32 60 62 90 92 120 122	-46943657550
STPT(10)	1251155068226961641	0 2 30 32 120 122 210 212 240 242	121630498914
STPT(10)	1251155153956463879	0 2 12 14 30 32 48 50 60 62	207360001152
TPT(16)	1251155264834493857	0 2 24 26 54 56 60 62 114 116 150 152 192 194 210 212	318238031130
SPT(16)	1251155807774877167	0 20 50 72 86 102 132 176 210 254 284 300 314 336 366 386	861178414440
SPT(16)	1251155820924682681	0 22 42 130 162 172 210 232 246 268 306 316 348 436 456 478	874328219954