Prime p₀= 2637582671363054321 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 64 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 126 128 156 158 186 188
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: JayPi
db: batch=82, k=12, 2 28 2 28 2 64

SPT(16)	2637580285376644499	0 38 80 92 104 108 132 140 162 170 194 198 210 222 264 302	-2385986409822
SPT(16)	2637580428322515199	0 30 40 58 72 132 154 174 208 228 250 310 324 342 352 382	-2243040539122
SPT(16)	2637580848800794987	0 6 34 46 72 90 94 102 124 132 136 154 180 192 220 226	-1822562259334
TPT(14)	2637581032153198289	0 2 72 74 90 92 138 140 210 212 228 230 270 272	-1639209856032
SPT(16)	2637581449661809423	0 16 28 66 70 78 84 100 174 190 196 204 208 246 258 274	-1221701244898
SPT(16)	2637582559792162919	0 2 32 54 74 102 132 224 270 362 392 420 440 462 492 494	-111570891402
SPT(16)	2637582746734123147	0 4 24 42 64 94 102 130 246 274 282 312 334 352 372 376	75371068826
SPT(16)	2637582825251799643	0 4 18 30 66 96 100 106 228 234 238 268 304 316 330 334	153888745322
SPT(16)	2637583589742938003	0 6 18 96 104 126 144 186 278 320 338 360 368 446 458 464	918379883682
STPT(10)	2637583636824517259	0 2 48 50 90 92 132 134 180 182	965461462938
SPT(16)	2637583757854312387	0 22 24 30 64 142 172 180 196 204 234 312 346 352 354 376	1086491258066