Prime p₀= 1173987120818016599 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 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: xii5ku
db: batch=77, k=12, 2 10 2 28 2 4

STPT(10)	1173985919812982777	0 2 54 56 72 74 90 92 144 146	-1201005033822
SPT(16)	1173986015357467159	0 4 22 42 94 108 112 172 330 390 394 408 460 480 498 502	-1105460549440
STPT(10)	1173986117537086277	0 2 30 32 72 74 114 116 144 146	-1003280930322
STPT(10)	1173986294109175361	0 2 126 128 138 140 150 152 276 278	-826708841238
SPT(20)	1173986354612541487	0 6 40 66 124 132 156 234 304 330 406 432 502 580 604 612 670 696 730 736	-766205475112
TPT(14)	1173987030188711861	0 2 36 38 180 182 210 212 336 338 420 422 456 458	-90629304738
SPT(16)	1173988051844248933	0 34 36 48 70 78 130 174 190 234 286 294 316 328 330 364	931026232334
STPT(10)	1173988079426652557	0 2 90 92 132 134 174 176 264 266	958608635958
SPT(16)	1173988083751067779	0 28 52 60 78 90 150 160 162 172 232 244 262 270 294 322	962933051180
STPT(10)	1173988403476615451	0 2 6 8 48 50 90 92 96 98	1282658598852
SPT(16)	1173988556044734277	0 22 64 70 100 106 136 226 240 330 360 366 396 402 444 466	1435226717678