Prime p₀= 2256057223995615179 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 154 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 198 200 228 230 240 242
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: Orange Kid
db: batch=81, k=12, 2 10 2 28 2 154

SPT(16)	2256055967180971933	0 18 66 70 124 168 196 208 216 228 256 300 354 358 406 424	-1256814643246
STPT(10)	2256056302117046249	0 2 42 44 60 62 78 80 120 122	-921878568930
STPT(10)	2256056353770755321	0 2 30 32 78 80 126 128 156 158	-870224859858
SPT(16)	2256056548510184209	0 10 18 30 70 82 84 142 180 238 240 252 292 304 312 322	-675485430970
STPT(12)	2256056634245849627	0 2 24 26 84 86 90 92 150 152 174 176	-589749765552
SPT(16)	2256056725912830107	0 54 66 92 150 222 270 290 306 326 374 446 504 530 542 596	-498082785072
SPT(16)	2256057276190470887	0 26 30 36 50 54 60 96 140 176 182 186 200 206 210 236	52194855708
STPT(10)	2256057305858038127	0 2 30 32 42 44 54 56 84 86	81862422948
TPT(14)	2256058055557318499	0 2 12 14 48 50 180 182 222 224 312 314 348 350	831561703320
TPT(14)	2256058172757582671	0 2 36 38 60 62 78 80 156 158 186 188 228 230	948761967492
SPT(16)	2256058859445066191	0 96 146 150 218 242 246 248 330 332 336 360 428 432 482 578	1635449451012