Prime p₀= 2538271802772879377 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: JayPi
db: batch=82, k=12, 2 22 2 58 2 34

SPT(16)	2538270070832378417	0 56 96 110 176 240 306 350 462 506 572 636 702 716 756 812	-1731940500960
SPT(16)	2538270144735400069	0 10 30 42 88 114 144 148 234 238 268 294 340 352 372 382	-1658037479308
TPT(16)	2538270548608374917	0 2 30 32 42 44 72 74 84 86 204 206 210 212 234 236	-1254164504460
STPT(10)	2538270958815897587	0 2 42 44 72 74 102 104 144 146	-843956981790
STPT(10)	2538271307911165367	0 2 30 32 72 74 114 116 144 146	-494861714010
STPT(10)	2538271501322430659	0 2 30 32 60 62 90 92 120 122	-301450448718
SPT(16)	2538271873517343913	0 10 48 124 130 138 154 174 214 234 250 258 264 340 378 388	70744464536
SPT(16)	2538272059408269097	0 34 64 70 82 154 196 232 264 300 342 414 426 432 462 496	256635389720
SPT(16)	2538272272823463667	0 40 46 54 64 166 196 210 226 240 270 372 382 390 396 436	470050584290
SPT(16)	2538272377063968107	0 6 26 36 44 54 80 120 140 180 206 216 224 234 254 260	574291088730
SPT(16)	2538272551625640941	0 42 48 96 108 132 138 212 276 350 356 380 392 440 446 488	748852761564