Prime p₀= 86237129246542367 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 22 2 4 2 118 2 130 2 (?)
a_n: 0 2 60 62 84 86 90 92 210 212 342 344
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: 344
Found by: nenym
db: batch=67, k=12, 58 22 4 118 130

SPT(14)	86237061644635897	0 24 46 52 66 72 100 156 184 190 204 210 232 256	-67601906470
SPT(14)	86237094957277133	0 6 20 60 126 188 206 210 228 290 356 396 410 416	-34289265234
SPT(14)	86237097785211803	0 14 20 104 134 138 140 174 176 180 210 294 300 314	-31461330564
SPT(14)	86237110614467381	0 2 8 20 30 32 218 252 438 440 450 462 468 470	-18632074986
SPT(14)	86237113602250367	0 26 42 92 96 102 110 276 284 290 294 344 360 386	-15644292000
SPT(14)	86237118987846733	0 30 48 58 78 100 118 126 144 166 186 196 214 244	-10258695634
SPT(14)	86237146986605833	0 4 28 40 54 78 136 138 196 220 234 246 270 274	17740063466
SPT(14)	86237147051427271	0 12 18 40 70 78 126 142 190 198 228 250 256 268	17804884904
SPT(14)	86237156551882711	0 18 22 30 46 72 100 228 256 282 298 306 310 328	27305340344
SPT(14)	86237157764474011	0 36 40 58 70 72 78 130 136 138 150 168 172 208	28517931644
SPT(14)	86237177321179567	0 12 22 30 36 82 90 106 114 160 166 174 184 196	48074637200