Prime p₀= 1956985601180029907 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Landjunge
db: batch=80, k=12, 2 10 2 40 2 4

SPT(16)	1956984282701205377	0 36 54 86 90 110 116 156 200 240 246 266 270 302 320 356	-1318478824530
SPT(16)	1956984357713075363	0 36 126 138 144 170 176 200 204 228 234 260 266 278 368 404	-1243466954544
SPT(16)	1956984624836570081	0 32 56 78 90 126 132 140 288 296 302 338 350 372 396 428	-976343459826
SPT(16)	1956984703204203371	0 168 180 186 200 212 230 242 336 348 366 378 392 398 410 578	-897975826536
STPT(10)	1956984706068223859	0 2 18 20 30 32 42 44 60 62	-895111806048
STPT(10)	1956985171464102419	0 2 48 50 90 92 132 134 180 182	-429715927488
STPT(10)	1956985638970262741	0 2 36 38 78 80 120 122 156 158	37790232834
SPT(16)	1956985866534753149	0 18 30 44 50 90 98 102 170 174 182 222 228 242 254 272	265354723242
SPT(16)	1956986823846034571	0 26 30 56 68 96 110 126 140 156 170 198 210 236 240 266	1222666004664
STPT(10)	1956987128411421641	0 2 66 68 138 140 210 212 276 278	1527231391734
SPT(16)	1956987217372232447	0 2 12 24 30 36 56 86 90 120 140 146 152 164 174 176	1616192202540