Prime p₀= 2512715109052223819 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 94 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 168 170 198 200 240 242
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: 242
Found by: [AF>Linux]Rogue 9
db: batch=82, k=12, 2 40 2 28 2 94

SPT(16)	2512712774258757127	0 24 46 72 94 100 126 142 234 250 276 282 304 330 352 376	-2334793466692
SPT(16)	2512713098523726061	0 18 22 90 112 120 132 148 150 166 178 186 208 276 280 298	-2010528497758
SPT(16)	2512713408935085481	0 6 10 28 66 136 138 168 178 208 210 280 318 336 340 346	-1700117138338
TPT(14)	2512713592512980039	0 2 42 44 78 80 108 110 120 122 198 200 210 212	-1516539243780
SPT(16)	2512713655592219899	0 22 54 58 70 112 114 138 154 178 180 222 234 238 270 292	-1453460003920
SPT(16)	2512715025555219721	0 42 82 106 130 136 166 186 196 216 246 252 276 300 340 382	-83497004098
SPT(16)	2512715831189341469	0 2 44 48 72 138 164 180 182 198 224 290 314 318 360 362	722137117650
TPT(14)	2512716010600410161	0 2 30 32 96 98 108 110 150 152 156 158 198 200	901548186342
TPT(14)	2512716133855229999	0 2 48 50 72 74 90 92 102 104 222 224 378 380	1024803006180
TPT(14)	2512716176439862751	0 2 96 98 120 122 138 140 156 158 180 182 198 200	1067387638932
STPT(10)	2512716176439862847	0 2 24 26 42 44 60 62 84 86	1067387639028