Prime p₀= 2990896306962669407 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2990895656490140141	0 8 26 122 150 152 162 186 242 266 276 278 306 402 420 428	-650472529266
SPT(16)	2990895660303925219	0 18 40 42 138 154 172 174 178 180 198 214 310 312 334 352	-646658744188
STPT(10)	2990895717450883997	0 2 30 32 42 44 54 56 84 86	-589511785410
SPT(16)	2990895790278388997	0 12 14 44 90 134 182 272 294 384 432 476 522 552 554 566	-516684280410
SPT(16)	2990896165780529311	0 16 18 78 88 120 130 162 166 198 208 240 250 310 312 328	-141182140096
SPT(16)	2990896224391752353	0 6 8 68 98 138 140 216 230 306 308 348 378 438 440 446	-82570917054
STPT(10)	2990896462989934391	0 2 6 8 48 50 90 92 96 98	156027264984
SPT(16)	2990897033811324061	0 46 78 156 168 180 196 198 298 300 316 328 340 418 450 496	726848654654
STPT(10)	2990897097633004751	0 2 36 38 78 80 120 122 156 158	790670335344
SPT(16)	2990897211713368843	0 30 58 124 130 138 186 208 216 238 286 294 300 366 394 424	904750699436
SPT(16)	2990897522516193299	0 8 18 60 78 92 98 104 198 204 210 224 242 284 294 302	1215553523892