Prime p₀= 2365349915789158469 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: 134
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 46

TPT(14)	2365347659074923791	0 2 78 80 156 158 210 212 270 272 300 302 336 338	-2256714234678
SPT(18)	2365347797847914461	0 10 88 156 162 186 228 238 240 268 270 280 322 346 352 420 498 508	-2117941244008
SPT(16)	2365347808168815611	0 18 56 60 78 102 116 152 276 312 326 350 368 372 410 428	-2107620342858
SPT(16)	2365348155744646271	0 12 38 50 72 80 86 110 138 162 168 176 198 210 236 248	-1760044512198
STPT(10)	2365348674672184259	0 2 42 44 60 62 78 80 120 122	-1241116974210
SPT(18)	2365348855352616229	0 4 54 70 120 144 148 174 180 238 244 270 274 298 348 364 414 418	-1060436542240
STPT(10)	2365349920514833619	0 2 12 14 90 92 168 170 180 182	4725675150
STPT(10)	2365350419232133757	0 2 30 32 72 74 114 116 144 146	503442975288
SPT(16)	2365350438173068001	0 8 32 42 110 146 230 278 300 348 432 468 536 546 570 578	522383909532
SPT(16)	2365350560547680963	0 20 60 110 126 158 164 174 320 330 336 368 384 434 474 494	644758522494
SPT(16)	2365350893443210913	0 8 38 48 128 158 164 170 204 210 216 246 326 336 366 374	977654052444