Prime p₀= 2966661191336260709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: Orange Kid
db: batch=82, k=12, 2 28 2 10 2 46

SPT(18)	2966660783672995301	0 12 32 50 90 102 132 140 168 230 258 266 296 308 348 366 386 398	-407663265408
SPT(16)	2966660923508073769	0 24 82 94 130 148 162 178 204 220 234 252 288 300 358 382	-267828186940
SPT(16)	2966660952609982601	0 42 72 96 128 140 162 168 290 296 318 330 362 386 416 458	-238726278108
SPT(16)	2966660994222015317	0 2 24 42 62 110 182 194 210 222 294 342 362 380 402 404	-197114245392
SPT(16)	2966661111187003117	0 10 16 42 84 144 160 172 264 276 292 352 394 420 426 436	-80149257592
STPT(10)	2966661180231630779	0 2 18 20 30 32 42 44 60 62	-11104629930
SPT(18)	2966661399750092809	0 24 64 94 114 160 162 178 234 238 294 310 312 358 378 408 448 472	208413832100
SPT(16)	2966662070524213531	0 16 18 28 46 52 88 142 156 210 246 252 270 280 282 298	879187952822
SPT(16)	2966662170724743497	0 30 44 54 62 66 140 144 152 156 230 234 242 252 266 296	979388482788
SPT(16)	2966662557771140273	0 24 30 44 48 114 146 156 248 258 290 356 360 374 380 404	1366434879564
SPT(16)	2966663133303673879	0 12 70 82 88 102 148 180 220 252 298 312 318 330 388 400	1941967413170