Prime p₀= 2167130463876388607 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 52 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 114 116 132 134 174 176
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: 176
Found by: ginga
db: batch=81, k=12, 2 40 2 16 2 52

STPT(10)	2167129499694882377	0 2 30 32 72 74 114 116 144 146	-964181506230
STPT(10)	2167129593399096407	0 2 12 14 72 74 132 134 144 146	-870477292200
SPT(16)	2167129836928428557	0 26 54 92 120 150 182 264 302 384 416 446 474 512 540 566	-626947960050
STPT(10)	2167129837007919149	0 2 42 44 60 62 78 80 120 122	-626868469458
SPT(16)	2167130063695105051	0 28 72 96 118 142 160 196 252 288 306 330 352 376 420 448	-400181283556
TPT(14)	2167130262516112601	0 2 66 68 180 182 198 200 210 212 246 248 276 278	-201360276006
SPT(16)	2167131368138722873	0 18 70 76 108 144 154 174 220 240 250 286 318 324 376 394	904262334266
STPT(10)	2167132244020241087	0 2 42 44 72 74 102 104 144 146	1780143852480
SPT(16)	2167132344427641653	0 30 38 98 138 144 210 230 234 254 320 326 366 426 434 464	1880551253046
SPT(16)	2167132442137238717	0 14 32 42 102 140 164 180 224 240 264 302 362 372 390 404	1978260850110
SPT(16)	2167132660419263951	0 8 30 32 42 50 78 140 240 302 330 338 348 350 372 380	2196542875344