Prime p₀= 2637438369096715139 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 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: biodoc
db: batch=82, k=12, 2 16 2 22 2 4

STPT(10)	2637437170484527319	0 2 18 20 30 32 42 44 60 62	-1198612187820
SPT(16)	2637437489859751801	0 22 36 76 106 118 138 208 210 280 300 312 342 382 396 418	-879236963338
SPT(16)	2637437823151504741	0 60 88 132 142 156 168 238 300 370 382 396 406 450 478 538	-545945210398
TPT(14)	2637438158467546307	0 2 84 86 102 104 324 326 360 362 612 614 654 656	-210629168832
SPT(16)	2637438272076196739	0 12 42 44 50 72 90 134 258 302 320 342 348 350 380 392	-97020518400
STPT(10)	2637438278037647561	0 2 36 38 78 80 120 122 156 158	-91059067578
STPT(10)	2637438685888755569	0 2 42 44 60 62 78 80 120 122	316792040430
STPT(10)	2637438743315040419	0 2 18 20 30 32 42 44 60 62	374218325280
TPT(14)	2637439042327010567	0 2 72 74 174 176 294 296 354 356 480 482 510 512	673230295428
STPT(10)	2637439553818688921	0 2 30 32 78 80 126 128 156 158	1184721973782
STPT(10)	2637439783672781609	0 2 18 20 30 32 42 44 60 62	1414576066470