Prime p₀= 2910066521688767939 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 88 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 210 212 252 254 330 332
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: 332
Found by: Landjunge
db: batch=82, k=12, 2 76 2 40 2 88

STPT(10)	2910065581348607291	0 2 30 32 120 122 210 212 240 242	-940340160648
SPT(16)	2910065886242604979	0 58 60 70 88 112 114 148 204 238 240 264 282 292 294 352	-635446162960
STPT(10)	2910065898685819121	0 2 78 80 108 110 138 140 216 218	-623002948818
SPT(16)	2910065924452446433	0 4 18 36 70 78 154 190 234 270 346 354 388 406 420 424	-597236321506
SPT(16)	2910066002623384471	0 60 70 72 76 88 126 130 138 142 180 192 196 198 208 268	-519065383468
TPT(16)	2910066303031064291	0 2 36 38 48 50 78 80 168 170 246 248 270 272 438 440	-218657703648
TPT(14)	2910066605791235087	0 2 72 74 162 164 192 194 222 224 240 242 330 332	84102467148
SPT(16)	2910066685261645501	0 16 42 72 82 100 130 160 168 198 228 246 256 286 312 328	163572877562
TPT(14)	2910066720406399199	0 2 18 20 48 50 90 92 240 242 252 254 270 272	198717631260
TPT(14)	2910066832735606169	0 2 162 164 222 224 288 290 390 392 402 404 468 470	311046838230
SPT(16)	2910067018580731901	0 8 36 38 42 50 66 80 138 152 168 176 180 182 210 218	496891963962