Prime p₀= 567543601236410039 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 82 2 166 2 46 2 22 2 (?)
a_n: 0 2 48 50 132 134 300 302 348 350 372 374
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: 374
Found by: nenym
db: batch=71, k=12, 46 82 166 46 22

TPT(12)	567543509802624449	0 2 78 80 90 92 108 110 180 182 210 212	-91433785590
SPT(14)	567543558090891763	0 36 58 64 154 160 196 198 234 240 330 336 358 394	-43145518276
SPT(14)	567543569651731157	0 24 56 60 72 90 102 104 116 134 146 150 182 206	-31584678882
SPT(14)	567543590231679211	0 10 52 66 72 178 190 288 300 406 412 426 468 478	-11004730828
SPT(14)	567543594277839787	0 12 24 54 60 66 76 270 280 286 292 322 334 346	-6958570252
SPT(14)	567543596156133503	0 14 30 48 54 84 90 98 104 134 140 158 174 188	-5080276536
SPT(14)	567543604069467847	0 6 52 76 90 96 106 126 136 142 156 180 226 232	2833057808
STPT(10)	567543605618817197	0 2 30 32 42 44 54 56 84 86	4382407158
SPT(14)	567543647817688501	0 10 42 58 72 78 100 108 130 136 150 166 198 208	46581278462
TPT(12)	567543654647439389	0 2 132 134 150 152 210 212 318 320 390 392	53411029350
TPT(12)	567543656002447547	0 2 90 92 132 134 150 152 210 212 234 236	54766037508