Prime p₀= 2971785923209781891 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 28 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 78 80 90 92 120 122 168 170
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: 170
Found by: [SG-FC] hl
db: batch=82, k=12, 2 46 2 28 2 10

SPT(16)	2971783408267237943	0 26 30 66 96 140 186 194 210 218 264 308 338 374 378 404	-2514942543948
SPT(16)	2971783462992228977	0 26 30 66 74 96 102 114 152 164 170 192 200 236 240 266	-2460217552914
SPT(16)	2971784163001768447	0 22 42 72 76 82 90 132 154 196 204 210 214 244 264 286	-1760208013444
SPT(16)	2971784300457958397	0 24 74 122 132 140 152 174 200 222 234 242 252 300 350 374	-1622751823494
SPT(16)	2971785561405712427	0 26 110 116 126 192 234 264 272 302 344 410 420 426 510 536	-361804069464
SPT(16)	2971785895874645579	0 8 14 20 30 38 90 108 140 158 210 218 228 234 240 248	-27335136312
STPT(10)	2971785993084383327	0 2 30 32 72 74 114 116 144 146	69874601436
SPT(16)	2971786079847271457	0 2 14 26 42 44 66 122 294 350 372 374 390 402 414 416	156637489566
STPT(12)	2971786184805447257	0 2 84 86 150 152 264 266 330 332 414 416	261595665366
SPT(16)	2971786246229606203	0 16 34 54 66 76 90 150 184 244 258 268 280 300 318 334	323019824312
STPT(10)	2971786366086864419	0 2 30 32 60 62 90 92 120 122	442877082528