Prime p₀= 568105128501531701 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 28 2 16 2 (?)
a_n: 0 2 78 80 108 110 120 122 150 152 168 170
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: 170
Found by: marsinph
db: batch=71, k=12, 76 28 10 28 16

SPT(14)	568104961741166123	0 86 108 138 164 170 200 204 234 240 266 296 318 404	-166760365578
SPT(14)	568105010368923017	0 14 42 50 60 74 92 162 180 194 204 212 240 254	-118132608684
SPT(14)	568105028101823567	0 12 14 24 36 54 56 90 92 110 122 132 134 146	-100399708134
STPT(10)	568105045454735021	0 2 36 38 78 80 120 122 156 158	-83046796680
SPT(14)	568105065731785027	0 10 12 40 52 132 144 160 172 252 264 292 294 304	-62769746674
SPT(14)	568105078856366287	0 4 22 42 52 70 82 132 144 162 172 192 210 214	-49645165414
SPT(14)	568105193028265747	0 10 40 54 66 70 82 114 126 130 142 156 186 196	64526734046
SPT(14)	568105197358040129	0 32 50 54 68 102 110 162 170 204 218 222 240 272	68856508428
SPT(14)	568105200572081101	0 10 12 30 42 76 100 108 132 166 178 196 198 208	72070549400
SPT(14)	568105203250100741	0 8 12 38 42 96 98 120 122 176 180 206 210 218	74748569040
SPT(14)	568105208327049493	0 58 70 154 184 216 244 270 298 330 360 444 456 514	79825517792