Prime p₀= 2275258611651985847 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: JayPi
db: batch=81, k=12, 2 22 2 4 2 22

SPT(16)	2275256913654204203	0 20 48 84 86 96 188 204 230 246 338 348 350 386 414 434	-1697997781644
STPT(10)	2275257691697866067	0 2 90 92 132 134 174 176 264 266	-919954119780
STPT(10)	2275258056067982759	0 2 12 14 90 92 168 170 180 182	-555584003088
STPT(10)	2275258069106928089	0 2 18 20 30 32 42 44 60 62	-542545057758
STPT(10)	2275258235260709507	0 2 54 56 72 74 90 92 144 146	-376391276340
STPT(10)	2275258264231422257	0 2 12 14 72 74 132 134 144 146	-347420563590
SPT(16)	2275258737371570063	0 24 26 54 86 138 158 168 266 276 296 348 380 408 410 434	125719584216
SPT(16)	2275258967825975581	0 42 60 90 102 142 228 280 288 340 426 466 478 508 526 568	356173989734
SPT(16)	2275259210461651459	0 34 40 84 90 118 180 192 220 232 294 322 328 372 378 412	598809665612
SPT(16)	2275259258794058077	0 46 52 72 136 142 154 160 186 192 204 210 274 294 300 346	647142072230
STPT(10)	2275259278006277741	0 2 6 8 48 50 90 92 96 98	666354291894