Prime p₀= 2375358976260298277 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: suriv
db: batch=81, k=12, 2 10 2 16 2 22

STPT(10)	2375358374098292897	0 2 30 32 72 74 114 116 144 146	-602162005380
SPT(16)	2375358429716541629	0 2 8 20 72 84 110 174 218 282 308 320 372 384 390 392	-546543756648
SPT(16)	2375358743660241673	0 60 70 88 90 124 126 178 246 298 300 334 336 354 364 424	-232600056604
STPT(10)	2375358862765382951	0 2 30 32 120 122 210 212 240 242	-113494915326
SPT(16)	2375358886613774641	0 12 42 66 136 178 180 196 222 238 240 282 352 376 406 418	-89646523636
STPT(10)	2375358900788052659	0 2 18 20 30 32 42 44 60 62	-75472245618
SPT(16)	2375360086600489211	0 42 48 56 62 126 146 242 366 462 482 546 552 560 566 608	1110340190934
STPT(10)	2375360271340783169	0 2 42 44 60 62 78 80 120 122	1295080484892
STPT(10)	2375360386535045249	0 2 18 20 30 32 42 44 60 62	1410274746972
SPT(16)	2375360816621663791	0 12 42 78 90 100 126 162 166 202 228 238 250 286 316 328	1840361365514
STPT(10)	2375361063374562059	0 2 18 20 30 32 42 44 60 62	2087114263782