Prime p₀= 2791485778692590519 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 58 2 4

TPT(14)	2791484206467092621	0 2 6 8 60 62 216 218 240 242 246 248 366 368	-1572225497898
SPT(13)	2791484729333221693	0 6 30 84 126 144 270 396 414 456 510 534 540	-1049359368826
STPT(10)	2791484838394361957	0 2 12 14 42 44 72 74 84 86	-940298228562
STPT(10)	2791485030805106771	0 2 36 38 78 80 120 122 156 158	-747887483748
SPT(16)	2791485125843113361	0 2 8 48 60 162 200 212 216 228 266 368 380 420 426 428	-652849477158
SPT(16)	2791485540592958399	0 54 78 80 98 108 120 158 204 242 254 264 282 284 308 362	-238099632120
STPT(10)	2791485873040284179	0 2 12 14 90 92 168 170 180 182	94347693660
TPT(14)	2791486170191467319	0 2 240 242 282 284 390 392 420 422 468 470 492 494	391498876800
SPT(16)	2791486332476011463	0 60 126 144 156 170 194 206 258 270 294 308 320 338 404 464	553783420944
SPT(16)	2791486337350542109	0 18 28 40 64 88 90 124 174 208 210 234 258 270 280 298	558657951590
SPT(16)	2791486395188722013	0 26 54 68 90 98 110 126 128 144 156 164 186 200 228 254	616496131494