Prime p₀= 2637414121260228599 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 28 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 120 122 132 134 210 212
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: 212
Found by: biodoc
db: batch=82, k=12, 2 76 2 10 2 28

SPT(16)	2637412910240359403	0 26 38 66 104 110 116 138 146 168 174 180 218 246 258 284	-1211019869196
TPT(14)	2637413217545661011	0 2 6 8 156 158 186 188 210 212 240 242 246 248	-903714567588
SPT(16)	2637413309224752881	0 6 20 30 42 50 86 92 96 102 138 146 158 168 182 188	-812035475718
STPT(10)	2637413348639278607	0 2 30 32 72 74 114 116 144 146	-772620949992
SPT(16)	2637413573025768547	0 66 72 82 112 142 154 156 190 192 204 234 264 274 280 346	-548234460052
SPT(16)	2637413947291293337	0 4 52 66 76 82 126 160 186 220 264 270 280 294 342 346	-173968935262
SPT(16)	2637414217209452609	0 80 102 144 180 192 224 230 354 360 392 404 440 482 504 584	95949224010
SPT(16)	2637414217244599801	0 60 66 78 88 136 156 178 198 220 240 288 298 310 316 376	95984371202
SPT(16)	2637414281505158321	0 18 48 158 168 182 206 218 300 312 336 350 360 470 500 518	160244929722
SPT(16)	2637414552622678183	0 4 34 40 46 66 70 88 216 234 238 258 264 270 300 304	431362449584
STPT(10)	2637414769434840929	0 2 48 50 210 212 372 374 420 422	648174612330