Prime p₀= 2452597400338911671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 4

STPT(10)	2452594299386274689	0 2 48 50 60 62 72 74 120 122	-3100952636982
SPT(16)	2452595466119789591	0 18 32 60 90 108 110 128 210 228 230 248 278 306 320 338	-1934219122080
SPT(16)	2452595712010034251	0 6 72 78 82 112 126 166 192 232 246 276 280 286 352 358	-1688328877420
TPT(14)	2452596237709304249	0 2 120 122 222 224 258 260 402 404 420 422 600 602	-1162629607422
SPT(16)	2452597001344901659	0 118 138 162 180 264 274 304 318 348 358 442 460 484 504 622	-398994010012
SPT(16)	2452597066395188183	0 8 38 66 80 86 108 126 128 146 168 174 188 216 246 254	-333943723488
SPT(16)	2452597586419481437	0 4 10 24 54 94 100 136 144 180 186 226 256 270 276 280	186080569766
STPT(10)	2452597835761267949	0 2 18 20 30 32 42 44 60 62	435422356278
SPT(16)	2452598010252466369	0 24 28 42 102 112 130 138 184 192 210 220 280 294 298 322	609913554698
SPT(16)	2452598014011315637	0 10 12 42 64 76 84 106 150 172 180 192 214 244 246 256	613672403966
SPT(16)	2452598053537851259	0 40 42 52 54 102 120 190 192 262 280 328 330 340 342 382	653198939588