Prime p₀= 2867947720405943081 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 70 2 4 2 70 2 16 2 (?)
a_n: 0 2 18 20 90 92 96 98 168 170 186 188
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: 188
Found by: arkiss
db: batch=82, k=12, 2 16 2 70 2 4

SPT(16)	2867946577901126767	0 16 24 82 100 114 204 250 276 322 412 426 444 502 510 526	-1142504816314
SPT(16)	2867946632678122783	0 6 60 130 168 184 190 216 238 264 270 286 324 394 448 454	-1087727820298
STPT(10)	2867946691273065947	0 2 30 32 42 44 54 56 84 86	-1029132877134
SPT(16)	2867946761790435733	0 16 64 94 114 136 156 174 220 238 258 280 300 330 378 394	-958615507348
STPT(10)	2867947163739343247	0 2 42 44 72 74 102 104 144 146	-556666599834
SPT(16)	2867947447378758293	0 80 84 110 120 146 168 170 174 176 198 224 234 260 264 344	-273027184788
STPT(10)	2867947849624828499	0 2 42 44 90 92 138 140 180 182	129218885418
STPT(10)	2867948784668906969	0 2 18 20 30 32 42 44 60 62	1064262963888
SPT(16)	2867948842066531787	0 2 6 12 14 26 32 44 72 84 90 102 104 110 114 116	1121660588706
SPT(16)	2867949105739659419	0 24 44 74 102 140 144 162 170 188 192 230 258 288 308 332	1385333716338
SPT(16)	2867949123208280197	0 6 42 52 60 66 76 100 102 126 136 142 150 160 196 202	1402802337116