Prime p₀= 2397363531466216529 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: Landjunge
db: batch=81, k=12, 2 28 2 28 2 46

STPT(10)	2397362026856440121	0 2 30 32 78 80 126 128 156 158	-1504609776408
STPT(10)	2397362404859075747	0 2 30 32 60 62 90 92 120 122	-1126607140782
SPT(16)	2397362866968092747	0 12 14 42 80 132 140 150 164 174 182 234 272 300 302 314	-664498123782
SPT(16)	2397362888545333483	0 36 48 64 120 180 190 220 234 264 274 334 390 406 418 454	-642920883046
SPT(16)	2397363124985721617	0 26 60 62 74 152 156 170 186 200 204 282 294 296 330 356	-406480494912
SPT(16)	2397363323404312919	0 12 24 42 102 140 188 192 350 354 402 440 500 518 530 542	-208061903610
SPT(16)	2397363631617293179	0 40 52 64 114 178 198 214 288 304 324 388 438 450 462 502	100151076650
STPT(10)	2397363724679097857	0 2 42 44 72 74 102 104 144 146	193212881328
STPT(10)	2397363747741615839	0 2 18 20 30 32 42 44 60 62	216275399310
SPT(16)	2397363912737392727	0 60 84 86 162 182 186 234 302 350 354 374 450 452 476 536	381271176198
SPT(16)	2397363943393651369	0 12 60 82 100 112 132 222 232 322 342 354 372 394 442 454	411927434840