Prime p₀= 725722878607547669 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: CThiede
db: batch=73, k=12, 2 28 2 28 2 40

SPT(16)	725721850942741969	0 24 72 144 154 210 222 228 274 280 292 348 358 430 478 502	-1027664805700
STPT(10)	725721946775059889	0 2 48 50 90 92 132 134 180 182	-931832487780
SPT(16)	725722020267478667	0 12 26 30 54 90 104 114 122 132 146 182 206 210 224 236	-858340069002
STPT(10)	725722508890115249	0 2 42 44 60 62 78 80 120 122	-369717432420
SPT(16)	725722787615371621	0 18 52 70 82 130 196 208 390 402 468 516 528 546 580 598	-90992176048
STPT(10)	725722825270416977	0 2 54 56 132 134 210 212 264 266	-53337130692
STPT(10)	725723072720982377	0 2 30 32 42 44 54 56 84 86	194113434708
STPT(10)	725723093509433387	0 2 30 32 42 44 54 56 84 86	214901885718
STPT(10)	725723321855857649	0 2 18 20 60 62 102 104 120 122	443248309980
SPT(16)	725723510787022133	0 44 80 158 198 218 224 306 308 390 396 416 456 534 570 614	632179474464
STPT(10)	725724511708045931	0 2 6 8 48 50 90 92 96 98	1633100498262