Prime p₀= 1334061428578692479 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 166 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 210 212 240 242 252 254
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: 254
Found by: Theadalus
db: batch=77, k=12, 2 10 2 28 2 166

SPT(20)	1334059586011124267	0 12 14 44 102 116 164 234 312 326 330 344 422 492 540 554 612 642 644 656	-1842567568212
SPT(16)	1334060533841190227	0 44 62 66 90 92 120 132 164 176 204 206 230 234 252 296	-894737502252
SPT(16)	1334060637326394781	0 18 30 108 126 130 166 180 298 312 348 352 370 448 460 478	-791252297698
STPT(10)	1334060831104796957	0 2 30 32 42 44 54 56 84 86	-597473895522
TPT(14)	1334060920950401339	0 2 42 44 90 92 120 122 150 152 168 170 180 182	-507628291140
SPT(16)	1334061416407385213	0 30 66 78 114 150 158 186 188 216 224 260 296 308 344 374	-12171307266
TPT(16)	1334061644347453961	0 2 30 32 78 80 90 92 156 158 186 188 198 200 216 218	215768761482
STPT(10)	1334061719955206927	0 2 24 26 42 44 60 62 84 86	291376514448
STPT(10)	1334061847028250539	0 2 42 44 90 92 138 140 180 182	418449558060
STPT(10)	1334062450862089211	0 2 6 8 48 50 90 92 96 98	1022283396732
SPT(16)	1334062542485082911	0 56 86 90 182 216 246 272 330 356 386 420 512 516 546 602	1113906390432