Prime p₀= 2501724956289606791 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 166 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 198 200 210 212 228 230
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: 230
Found by: JayPi
db: batch=82, k=12, 2 16 2 10 2 166

TPT(14)	2501723014824418109	0 2 30 32 168 170 180 182 228 230 270 272 282 284	-1941465188682
SPT(16)	2501723023512223487	0 12 20 62 104 132 152 194 252 294 314 342 384 426 434 446	-1932777383304
SPT(16)	2501723043010374901	0 18 22 28 40 72 126 138 190 202 256 288 300 306 310 328	-1913279231890
SPT(16)	2501723156076684299	0 8 30 60 68 78 92 128 144 180 194 204 212 242 264 272	-1800212922492
STPT(10)	2501723819439238871	0 2 36 38 78 80 120 122 156 158	-1136850367920
SPT(16)	2501724486925276793	0 68 90 126 144 146 168 186 188 206 228 230 248 284 306 374	-469364329998
SPT(16)	2501725128315765383	0 26 48 110 126 140 146 168 176 198 204 218 234 296 318 344	172026158592
SPT(16)	2501725613302124887	0 46 82 150 196 276 300 304 342 346 370 450 496 564 600 646	657012518096
SPT(18)	2501725618326786491	0 2 6 30 78 80 90 132 168 170 206 248 258 260 308 332 336 338	662037179700
SPT(16)	2501725782291069571	0 52 58 90 108 118 132 142 276 286 300 310 328 360 366 418	826001462780
SPT(16)	2501726019795932089	0 12 30 70 72 90 132 172 210 250 292 310 312 352 370 382	1063506325298