Prime p₀= 558901685114728367 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 34 2 22 2 16 2 118 2 (?)
a_n: 0 2 24 26 60 62 84 86 102 104 222 224
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: 224
Found by: nenym
db: batch=71, k=12, 22 34 22 16 118

SPT(14)	558901645402556233	0 10 18 40 60 88 96 100 108 136 156 178 186 196	-39712172134
SPT(14)	558901646289928153	0 10 24 34 46 64 76 144 156 174 186 196 210 220	-38824800214
TPT(12)	558901652195240087	0 2 42 44 54 56 180 182 294 296 312 314	-32919488280
STPT(10)	558901654890527951	0 2 30 32 60 62 90 92 120 122	-30224200416
SPT(14)	558901656662507423	0 14 24 26 80 84 108 116 140 144 198 200 210 224	-28452220944
SPT(14)	558901673763848531	0 20 36 50 78 86 156 200 270 278 306 320 336 356	-11350879836
SPT(14)	558901688846078729	0 20 42 50 62 78 90 92 104 120 132 140 162 182	3731350362
SPT(14)	558901717094930507	0 6 72 74 86 110 116 240 246 270 282 284 350 356	31980202140
SPT(14)	558901737267631687	0 34 54 70 94 114 210 226 322 342 366 382 402 436	52152903320
SPT(14)	558901747015407503	0 36 60 78 86 120 140 144 164 198 206 224 248 284	61900679136
SPT(14)	558901752283269977	0 14 24 54 60 80 92 102 114 134 140 170 180 194	67168541610