Prime p₀= 2350364575527142037 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 118 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 162 164 180 182 204 206
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: Xenon
db: batch=81, k=12, 2 22 2 16 2 118

SPT(16)	2350362622225419719	0 12 24 38 68 80 120 152 210 242 282 294 324 338 350 362	-1953301722318
SPT(16)	2350362826341277127	0 24 32 42 72 84 90 150 164 224 230 242 272 282 290 314	-1749185864910
STPT(10)	2350363303267159949	0 2 18 20 30 32 42 44 60 62	-1272259982088
STPT(10)	2350363411530399821	0 2 6 8 48 50 90 92 96 98	-1163996742216
SPT(16)	2350363967646784567	0 4 34 60 64 90 106 150 196 240 256 282 286 312 342 346	-607880357470
SPT(16)	2350364516971703069	0 12 14 32 54 60 74 92 102 120 134 140 162 180 182 194	-58555438968
SPT(16)	2350364888159952109	0 4 12 28 42 52 54 84 88 118 120 130 144 160 168 172	312632810072
STPT(10)	2350364896135238597	0 2 24 26 42 44 60 62 84 86	320608096560
STPT(10)	2350365807734249507	0 2 42 44 72 74 102 104 144 146	1232207107470
TPT(14)	2350365888628210637	0 2 30 32 84 86 120 122 270 272 312 314 372 374	1313101068600
TPT(14)	2350366008520232531	0 2 6 8 36 38 48 50 78 80 96 98 108 110	1432993090494