Prime p₀= 1967868725861349107 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: Landjunge
db: batch=80, k=12, 2 22 2 4 2 22

SPT(16)	1967867530613348431	0 60 70 126 132 166 228 240 268 280 342 376 382 438 448 508	-1195248000676
SPT(16)	1967867570527613243	0 20 30 68 98 108 140 146 150 156 188 198 228 266 276 296	-1155333735864
STPT(10)	1967868025133910797	0 2 60 62 102 104 144 146 204 206	-700727438310
SPT(16)	1967868049735826573	0 30 86 168 188 206 210 216 290 296 300 318 338 420 476 506	-676125522534
TPT(14)	1967868404374342199	0 2 30 32 78 80 132 134 168 170 300 302 312 314	-321487006908
SPT(16)	1967868534560709721	0 48 66 76 108 180 220 252 286 318 358 430 462 472 490 538	-191300639386
STPT(10)	1967868909133326839	0 2 12 14 90 92 168 170 180 182	183271977732
STPT(10)	1967868949942802087	0 2 30 32 42 44 54 56 84 86	224081452980
STPT(10)	1967869130502114611	0 2 36 38 78 80 120 122 156 158	404640765504
STPT(10)	1967869362243524807	0 2 12 14 42 44 72 74 84 86	636382175700
SPT(16)	1967869500174223831	0 28 82 106 120 142 150 162 196 208 216 238 252 276 330 358	774312874724