Prime p₀= 568114637214162539 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 124 2 40 2 28 2 58 2 (?)
a_n: 0 2 12 14 138 140 180 182 210 212 270 272
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: 272
Found by: marsinph
db: batch=71, k=12, 10 124 40 28 58

SPT(14)	568114527970081787	0 2 36 80 104 114 140 156 182 192 216 260 294 296	-109244080752
SPT(14)	568114541798425337	0 44 50 62 72 92 102 104 114 134 144 156 162 206	-95415737202
TPT(12)	568114574648554889	0 2 90 92 102 104 198 200 228 230 300 302	-62565607650
TPT(12)	568114628201696747	0 2 54 56 84 86 90 92 150 152 174 176	-9012465792
TPT(12)	568114635308751341	0 2 18 20 96 98 156 158 180 182 198 200	-1905411198
SPT(14)	568114637204894473	0 28 36 58 78 100 106 150 156 178 198 220 228 256	-9268066
SPT(14)	568114643108456363	0 36 56 78 84 128 168 176 216 260 266 288 308 344	5894293824
SPT(14)	568114662673730941	0 30 46 60 72 118 132 136 150 196 208 222 238 268	25459568402
SPT(14)	568114672585221779	0 8 20 42 50 72 78 182 188 210 218 240 252 260	35371059240
SPT(14)	568114692444085291	0 46 66 70 96 102 108 130 136 142 168 172 192 238	55229922752
SPT(14)	568114707062374847	0 6 30 50 60 62 84 92 114 116 126 146 170 176	69848212308