Prime p₀= 2960332274328902117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 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: Landjunge
db: batch=82, k=12, 2 10 2 16 2 22

TPT(14)	2960331142671542327	0 2 72 74 84 86 132 134 162 164 204 206 312 314	-1131657359790
STPT(12)	2960331428366841227	0 2 12 14 30 32 54 56 72 74 84 86	-845962060890
SPT(16)	2960331631817931887	0 14 20 42 96 180 222 224 312 314 356 440 494 516 522 536	-642510970230
STPT(10)	2960331980217722939	0 2 48 50 90 92 132 134 180 182	-294111179178
SPT(16)	2960331985950179831	0 30 48 56 126 200 210 228 308 326 336 410 480 488 506 536	-288378722286
SPT(16)	2960331992842071433	0 18 40 60 148 150 160 186 238 264 274 276 364 384 406 424	-281486830684
SPT(16)	2960332293960364889	0 14 24 54 128 164 174 278 294 398 408 444 518 548 558 572	19631462772
STPT(10)	2960332311065327249	0 2 18 20 30 32 42 44 60 62	36736425132
SPT(18)	2960332874936801599	0 42 54 60 72 100 144 154 180 214 240 250 294 322 334 340 352 394	600607899482
SPT(16)	2960332949604303953	0 8 38 50 66 98 114 120 164 170 186 218 234 246 276 284	675275401836
SPT(16)	2960333343355181239	0 24 52 54 84 132 154 174 208 228 250 298 328 330 358 382	1069026279122