Prime p₀= 126539504300826431 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 58 2 70 2 76 2 40 2 (?)
a_n: 0 2 6 8 66 68 138 140 216 218 258 260
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: 260
Found by: cpuid
db: batch=67, k=12, 4 58 70 76 40

SPT(14)	126539403393290177	0 6 12 20 26 36 42 50 56 66 72 80 86 92	-100907536254
SPT(14)	126539407921832669	0 2 38 108 144 168 192 260 284 308 344 414 450 452	-96378993762
SPT(14)	126539453317901333	0 20 24 54 90 110 146 168 204 224 260 290 294 314	-50982925098
TPT(12)	126539465175545909	0 2 132 134 168 170 240 242 300 302 390 392	-39125280522
SPT(14)	126539469550047331	0 22 30 42 60 78 100 108 130 148 166 178 186 208	-34750779100
TPT(12)	126539473039625507	0 2 30 32 42 44 120 122 180 182 210 212	-31261200924
SPT(14)	126539504458724209	0 34 52 88 130 144 154 198 208 222 264 300 318 352	157897778
SPT(14)	126539509134400711	0 16 18 46 52 82 90 178 186 216 222 250 252 268	4833574280
SPT(14)	126539509608878591	0 12 60 80 102 122 128 150 156 176 198 218 266 278	5308052160
SPT(14)	126539515382260711	0 22 42 48 76 106 112 126 132 162 190 196 216 238	11081434280
TPT(12)	126539531821029839	0 2 12 14 30 32 78 80 120 122 150 152	27520203408