Prime p₀= 2667580751415146297 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: 164
Found by: fzs600
db: batch=82, k=12, 2 10 2 28 2 76

STPT(10)	2667579872680884839	0 2 18 20 30 32 42 44 60 62	-878734261458
SPT(16)	2667579983636037439	0 4 28 30 78 114 124 162 190 228 238 274 322 324 348 352	-767779108858
STPT(10)	2667580126446692801	0 2 36 38 78 80 120 122 156 158	-624968453496
SPT(16)	2667580478400054571	0 6 18 30 58 118 120 226 342 448 450 510 538 550 562 568	-273015091726
STPT(10)	2667580555248142307	0 2 54 56 72 74 90 92 144 146	-196167003990
SPT(16)	2667580695505622581	0 46 70 90 168 180 226 252 436 462 508 520 598 618 642 688	-55909523716
SPT(16)	2667581199938055619	0 58 72 108 124 138 220 228 274 282 364 378 394 430 444 502	448522909322
TPT(14)	2667581275183234349	0 2 60 62 78 80 120 122 210 212 240 242 258 260	523768088052
TPT(14)	2667581474047355111	0 2 36 38 78 80 180 182 288 290 306 308 318 320	722632208814
STPT(10)	2667581866477231259	0 2 48 50 90 92 132 134 180 182	1115062084962
SPT(16)	2667582237180051623	0 6 54 56 78 80 104 134 180 210 234 236 258 260 308 314	1485764905326