Prime p₀= 2286571977841798649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: suriv
db: batch=81, k=12, 2 28 2 40 2 16

SPT(16)	2286570982717834091	0 12 60 66 68 80 90 96 152 158 168 180 182 188 236 248	-995123964558
SPT(16)	2286571032153248707	0 10 34 54 70 76 124 130 306 312 360 366 382 402 426 436	-945688549942
TPT(14)	2286571175776346297	0 2 60 62 114 116 180 182 222 224 282 284 324 326	-802065452352
SPT(16)	2286571272465540947	0 56 266 314 344 384 396 420 446 470 482 522 552 600 810 866	-705376257702
SPT(18)	2286571409651100401	0 8 30 42 78 140 156 168 186 212 230 242 258 320 356 368 390 398	-568190698248
SPT(16)	2286571574360564269	0 18 28 84 100 154 184 202 210 228 258 312 328 384 394 412	-403481234380
STPT(10)	2286572030108696567	0 2 12 14 42 44 72 74 84 86	52266897918
STPT(10)	2286572653582522379	0 2 42 44 90 92 138 140 180 182	675740723730
SPT(16)	2286572914098287729	0 12 14 24 38 50 68 90 182 204 222 234 248 258 260 272	936256489080
TPT(14)	2286572926398159227	0 2 12 14 24 26 174 176 180 182 210 212 234 236	948556360578
SPT(16)	2286572938459334191	0 46 60 106 130 148 150 210 238 298 300 318 342 388 402 448	960617535542