Prime p₀= 2309073829398798347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 10 2 124 2 10 2 70 2 (?)
a_n: 0 2 72 74 84 86 210 212 222 224 294 296
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: 296
Found by: Landjunge
db: batch=81, k=12, 2 70 2 10 2 124

SPT(16)	2309073256115505329	0 38 62 72 90 102 128 164 168 204 230 242 260 270 294 332	-573283293018
SPT(16)	2309073300786748607	0 14 144 194 234 276 314 336 380 402 440 482 522 572 702 716	-528612049740
STPT(10)	2309073453709425581	0 2 6 8 48 50 90 92 96 98	-375689372766
SPT(16)	2309073551764561411	0 16 22 36 42 70 118 162 286 330 378 406 412 426 432 448	-277634236936
TPT(14)	2309073641173873139	0 2 150 152 168 170 228 230 282 284 408 410 462 464	-188224925208
SPT(16)	2309073803465643017	0 6 30 60 72 90 116 126 146 156 182 200 212 242 266 272	-25933155330
SPT(16)	2309074140940057537	0 22 36 54 60 106 126 190 246 310 330 376 382 400 414 436	311541259190
SPT(16)	2309074218110386999	0 12 24 54 82 84 114 184 210 280 310 312 340 370 382 394	388711588652
SPT(16)	2309074854356684737	0 72 112 120 126 256 264 292 294 322 330 460 466 474 514 586	1024957886390
STPT(10)	2309074882915897301	0 2 6 8 18 20 30 32 36 38	1053517098954
TPT(14)	2309075116791813479	0 2 30 32 72 74 102 104 180 182 258 260 312 314	1287393015132