Prime p₀= 811001416251186287 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: arkiss
db: batch=73, k=12, 2 10 2 16 2 22

TPT(14)	811000890372997559	0 2 30 32 102 104 132 134 210 212 240 242 252 254	-525878188728
STPT(10)	811000965508322117	0 2 12 14 42 44 72 74 84 86	-450742864170
STPT(10)	811001157370466681	0 2 48 50 108 110 168 170 216 218	-258880719606
SPT(16)	811001290709957953	0 6 28 60 114 126 154 168 256 270 298 310 364 396 418 424	-125541228334
SPT(13)	811001396338814819	0 24 54 84 120 138 144 150 168 204 234 264 288	-19912371468
SPT(16)	811001404398149557	0 6 40 84 130 154 160 172 204 216 222 246 292 336 370 376	-11853036730
STPT(10)	811001858353907159	0 2 18 20 30 32 42 44 60 62	442102720872
SPT(16)	811002122893902749	0 38 50 62 90 132 182 200 252 270 320 362 390 402 414 452	706642716462
SPT(16)	811002349029014089	0 30 72 78 120 138 154 178 264 288 304 322 364 370 412 442	932777827802
SPT(16)	811002463338847657	0 40 70 120 150 274 294 304 306 316 336 460 490 540 570 610	1047087661370
STPT(10)	811002485864473337	0 2 30 32 42 44 54 56 84 86	1069613287050