Prime p₀= 2308996877797997711 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 166 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 198 200 210 212 228 230
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: 230
Found by: Landjunge
db: batch=81, k=12, 2 16 2 10 2 166

SPT(16)	2308995542608421971	0 6 16 58 90 96 108 148 168 208 220 226 258 300 310 316	-1335189575740
SPT(16)	2308995869801922097	0 40 96 124 130 142 184 192 244 252 294 306 312 340 396 436	-1007996075614
SPT(16)	2308995880898089543	0 10 18 54 108 144 154 196 198 240 250 286 340 376 384 394	-996899908168
SPT(16)	2308996470926428447	0 6 16 40 54 64 72 76 120 124 132 142 156 180 190 196	-406871569264
SPT(16)	2308996594137217471	0 12 16 36 40 142 166 186 226 246 270 372 376 396 400 412	-283660780240
SPT(18)	2308996848132711053	0 30 38 48 66 74 114 116 120 254 258 260 300 308 326 336 344 374	-29665286658
STPT(10)	2308997271754328567	0 2 24 26 42 44 60 62 84 86	393956330856
SPT(16)	2308997734105470781	0 28 58 76 88 90 120 156 190 226 256 258 270 288 318 346	856307473070
TPT(14)	2308997751419392277	0 2 54 56 60 62 234 236 264 266 312 314 324 326	873621394566
STPT(10)	2308997982980654429	0 2 48 50 60 62 72 74 120 122	1105182656718
SPT(16)	2308998035093625791	0 2 6 18 26 56 146 170 198 222 312 342 350 362 366 368	1157295628080