Prime p₀= 2591890923615045527 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: JayPi
db: batch=82, k=12, 2 10 2 40 2 4

SPT(16)	2591889375014172913	0 40 58 138 166 190 198 208 228 238 246 270 298 378 396 436	-1548600872614
SPT(16)	2591889576843471521	0 8 12 60 116 126 138 158 180 200 212 222 278 326 330 338	-1346771574006
SPT(16)	2591890047851960573	0 60 98 134 144 204 210 224 264 278 284 344 354 390 428 488	-875763084954
SPT(16)	2591890423636666417	0 16 42 52 102 130 132 136 150 154 156 184 234 244 270 286	-499978379110
SPT(16)	2591890569498915757	0 52 90 132 154 156 174 196 300 322 340 342 364 406 444 496	-354116129770
SPT(16)	2591890744025517073	0 46 60 76 84 88 90 138 166 214 216 220 228 244 258 304	-179589528454
STPT(10)	2591890959186082109	0 2 48 50 90 92 132 134 180 182	35571036582
SPT(16)	2591891444645575351	0 70 82 88 102 118 132 226 252 346 360 376 390 396 408 478	521030529824
STPT(10)	2591891722988508737	0 2 30 32 42 44 54 56 84 86	799373463210
STPT(10)	2591891769010384661	0 2 6 8 18 20 30 32 36 38	845395339134
STPT(10)	2591891956108946807	0 2 30 32 42 44 54 56 84 86	1032493901280