Prime p₀= 2991540349683438809 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Orange Kid
db: batch=82, k=12, 2 10 2 28 2 16

STPT(10)	2991538768803722321	0 2 30 32 60 62 90 92 120 122	-1580879716488
TPT(14)	2991539165105526617	0 2 30 32 84 86 150 152 180 182 192 194 234 236	-1184577912192
SPT(16)	2991539515470873589	0 4 24 84 124 144 178 180 208 210 244 264 304 364 384 388	-834212565220
STPT(10)	2991540073836240929	0 2 30 32 60 62 90 92 120 122	-275847197880
SPT(16)	2991540119466681283	0 18 54 88 106 154 186 198 256 268 300 348 366 400 436 454	-230216757526
TPT(14)	2991540349683438731	0 2 78 80 90 92 120 122 138 140 168 170 180 182	-78
STPT(10)	2991540452138322827	0 2 12 14 42 44 72 74 84 86	102454884018
SPT(16)	2991540882360442387	0 16 120 132 156 192 222 232 294 304 334 370 394 406 510 526	532677003578
TPT(14)	2991541089707979629	0 2 30 32 42 44 72 74 120 122 168 170 210 212	740024540820
SPT(16)	2991541645850689801	0 18 36 102 172 178 190 268 330 408 420 426 496 562 580 598	1296167250992
SPT(20)	2991541809471963353	0 50 60 78 90 134 140 158 180 194 204 218 240 258 264 308 320 338 348 398	1459788524544