Prime p₀= 2697462267050808149 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 40 2 88 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 180 182 222 224 270 272
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: 272
Found by: JayPi
db: batch=82, k=12, 2 46 2 40 2 88

SPT(16)	2697461301305521211	0 6 26 30 186 198 212 216 362 366 380 392 548 552 572 578	-965745286938
SPT(16)	2697461851224432109	0 34 58 72 108 130 198 244 318 364 432 454 490 504 528 562	-415826376040
SPT(16)	2697461916013042099	0 34 94 168 234 250 258 262 330 334 342 358 424 498 558 592	-351037766050
SPT(16)	2697461982152991671	0 8 30 98 116 156 186 198 230 242 272 312 330 398 420 428	-284897816478
STPT(10)	2697462026244992021	0 2 36 38 78 80 120 122 156 158	-240805816128
SPT(16)	2697462212967847553	0 18 30 74 138 200 216 228 296 308 324 386 450 494 506 524	-54082960596
SPT(16)	2697462285120288137	0 26 30 62 92 96 140 144 212 216 260 264 294 326 330 356	18069479988
TPT(14)	2697462399749155007	0 2 12 14 30 32 60 62 72 74 114 116 132 134	132698346858
STPT(10)	2697462842793869177	0 2 30 32 42 44 54 56 84 86	575743061028
TPT(16)	2697463008695627867	0 2 30 32 90 92 120 122 132 134 204 206 210 212 294 296	741644819718
SPT(16)	2697463133270920403	0 26 44 56 60 90 96 134 180 218 224 254 258 270 288 314	866220112254