Prime p₀= 2352199431501616007 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 64 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 150 152 210 212 234 236
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: 236
Found by: arkiss
db: batch=81, k=12, 2 22 2 58 2 64

STPT(10)	2352196766164313639	0 2 18 20 30 32 42 44 60 62	-2665337302368
TPT(14)	2352197289324492917	0 2 24 26 30 32 102 104 150 152 180 182 234 236	-2142177123090
SPT(16)	2352198415985489411	0 18 26 32 42 48 60 62 96 98 110 116 126 132 140 158	-1015516126596
STPT(10)	2352198869044658927	0 2 42 44 72 74 102 104 144 146	-562456957080
TPT(14)	2352199125868255661	0 2 6 8 60 62 90 92 96 98 156 158 270 272	-305633360346
SPT(16)	2352199386470525219	0 24 38 60 68 92 134 140 162 168 210 234 242 264 278 302	-45031090788
SPT(16)	2352199472555173369	0 22 34 64 88 274 280 324 358 402 408 594 618 648 660 682	41053557362
STPT(10)	2352199538632078307	0 2 12 14 42 44 72 74 84 86	107130462300
SPT(16)	2352199669628753591	0 12 20 26 78 150 170 212 216 258 278 350 402 408 416 428	238127137584
STPT(10)	2352201260460384209	0 2 30 32 60 62 90 92 120 122	1828958768202
SPT(16)	2352201453241737659	0 44 102 104 108 134 150 228 314 392 408 434 438 440 498 542	2021740121652