Prime p₀= 2740276671060489929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 70 2 34 2 70 2 58 2 (?)
a_n: 0 2 60 62 132 134 168 170 240 242 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=12, 2 58 2 70 2 34

STPT(10)	2740275987441343277	0 2 90 92 132 134 174 176 264 266	-683619146652
TPT(14)	2740276123816303199	0 2 12 14 78 80 108 110 138 140 162 164 210 212	-547244186730
SPT(16)	2740276192371145061	0 12 30 62 162 188 218 240 320 342 372 398 498 530 548 560	-478689344868
SPT(16)	2740276391491844291	0 6 42 50 56 60 86 92 126 132 158 162 168 176 212 218	-279568645638
TPT(14)	2740276637121787859	0 2 18 20 30 32 42 44 240 242 258 260 270 272	-33938702070
SPT(16)	2740276646490881153	0 24 50 54 78 90 120 138 146 164 194 206 230 234 260 284	-24569608776
SPT(16)	2740276687324963933	0 24 70 138 174 216 220 240 304 324 328 370 406 474 520 544	16264474004
TPT(14)	2740276849601102657	0 2 30 32 42 44 60 62 72 74 84 86 150 152	178540612728
SPT(18)	2740276863384516329	0 14 30 44 74 80 104 110 122 132 144 150 174 180 210 224 240 254	192324026400
STPT(10)	2740277024952333857	0 2 12 14 42 44 72 74 84 86	353891843928
SPT(16)	2740277477185243267	0 34 70 72 126 150 154 156 340 342 346 370 424 426 462 496	806124753338