Prime p₀= 2507261256284776727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 64 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 150 152 204 206 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 52 2 64

SPT(16)	2507260146324259789	0 22 112 138 204 214 220 232 270 282 288 298 364 390 480 502	-1109960516938
STPT(10)	2507260387772690477	0 2 42 44 72 74 102 104 144 146	-868512086250
STPT(10)	2507260422303362651	0 2 30 32 78 80 126 128 156 158	-833981414076
SPT(16)	2507260944950548453	0 28 46 120 144 168 210 240 274 304 346 370 394 468 486 514	-311334228274
SPT(16)	2507261167314386183	0 44 78 114 140 158 164 218 276 330 336 354 380 416 450 494	-88970390544
SPT(16)	2507261207146668559	0 34 70 138 142 250 252 294 298 340 342 450 454 522 558 592	-49138108168
SPT(16)	2507261320679227303	0 16 24 36 60 114 130 154 270 294 310 364 388 400 408 424	64394450576
STPT(10)	2507261464457161169	0 2 18 20 30 32 42 44 60 62	208172384442
STPT(10)	2507261584809747707	0 2 30 32 42 44 54 56 84 86	328524970980
SPT(16)	2507261615194070557	0 4 6 54 70 154 190 196 264 270 306 390 406 454 456 460	358909293830
STPT(10)	2507261753897110841	0 2 36 38 78 80 120 122 156 158	497612334114