Prime p₀= 536700135075760967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 172 2 4 2 28 2 40 2 10 2 (?)
a_n: 0 2 174 176 180 182 210 212 252 254 264 266
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: 266
Found by: zombie67 [MM]
db: batch=56, k=12, 172 4 28 40 10

SPT(14)	536699972784357787	0 10 12 66 150 202 216 256 270 322 406 460 462 472	-162291403180
SPT(16)	536700038611253353	0 30 40 58 64 78 130 144 184 198 250 264 270 288 298 328	-96464507614
SPT(14)	536700049355608673	0 8 30 38 56 66 78 98 110 120 138 146 168 176	-85720152294
SPT(14)	536700086634910879	0 22 58 64 84 102 108 154 160 178 198 204 240 262	-48440850088
SPT(14)	536700099455436481	0 22 78 102 148 160 168 250 258 270 316 340 396 418	-35620324486
SPT(14)	536700115072568197	0 4 6 10 36 46 64 72 90 100 126 130 132 136	-20003192770
SPT(14)	536700153665509363	0 4 18 24 66 96 144 160 208 238 280 286 300 304	18589748396
SPT(14)	536700164349627451	0 52 78 90 112 130 148 192 210 228 250 262 288 340	29273866484
TPT(12)	536700169922318891	0 2 30 32 126 128 156 158 168 170 228 230	34846557924
SPT(14)	536700182003155769	0 20 132 140 158 162 230 240 308 312 330 338 450 470	46927394802
SPT(14)	536700186520391771	0 8 66 98 120 140 146 210 216 236 258 290 348 356	51444630804