Prime p₀= 2371015181548346867 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 120 122 162 164 204 206
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: 206
Found by: arkiss
db: batch=81, k=12, 2 40 2 40 2 34

STPT(10)	2371013565740663279	0 2 18 20 60 62 102 104 120 122	-1615807683588
TPT(14)	2371013720549764571	0 2 66 68 78 80 156 158 180 182 210 212 306 308	-1460998582296
TPT(14)	2371013991796223561	0 2 216 218 240 242 270 272 390 392 426 428 438 440	-1189752123306
TPT(14)	2371014019431613397	0 2 90 92 162 164 174 176 252 254 294 296 330 332	-1162116733470
STPT(10)	2371014671844163517	0 2 42 44 72 74 102 104 144 146	-509704183350
SPT(16)	2371015027574043311	0 2 38 42 48 68 116 152 186 222 270 290 296 300 336 338	-153974303556
TPT(14)	2371015475659430627	0 2 30 32 54 56 102 104 150 152 234 236 264 266	294111083760
SPT(16)	2371015599303955517	0 14 30 72 92 104 134 140 174 180 210 222 242 284 300 314	417755608650
SPT(16)	2371015692775520291	0 12 36 48 218 278 296 356 372 432 450 510 680 692 716 728	511227173424
STPT(10)	2371015699617687971	0 2 36 38 78 80 120 122 156 158	518069341104
SPT(16)	2371016109538772699	0 2 12 44 78 90 138 150 152 164 212 224 258 290 300 302	927990425832