Prime p₀= 491118375903090071 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 52 2 16 2 28 2 106 2 (?)
a_n: 0 2 66 68 120 122 138 140 168 170 276 278
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: 278
Found by: modesti
db: batch=70, k=12, 64 52 16 28 106

SPT(14)	491118326283627989	0 14 38 50 62 72 104 108 140 150 162 174 198 212	-49619462082
SPT(16)	491118334416395353	0 48 78 96 114 118 120 126 148 154 156 160 178 196 226 274	-41486694718
SPT(14)	491118339357514151	0 12 48 62 86 90 108 110 128 132 156 170 206 218	-36545575920
TPT(12)	491118352111669001	0 2 18 20 30 32 126 128 156 158 198 200	-23791421070
SPT(14)	491118352494296561	0 62 66 72 80 86 102 110 126 132 140 146 150 212	-23408793510
SPT(14)	491118363998795431	0 10 12 16 30 48 52 96 100 118 132 136 138 148	-11904294640
SPT(14)	491118381361168933	0 10 36 106 144 150 166 168 184 190 228 298 324 334	5458078862
TPT(12)	491118382183411361	0 2 36 38 96 98 108 110 240 242 276 278	6280321290
SPT(16)	491118382664148737	0 14 24 32 66 84 86 102 164 180 182 200 234 242 252 266	6761058666
SPT(14)	491118397413076981	0 28 42 58 88 118 142 186 210 240 270 286 300 328	21509986910
SPT(14)	491118415399721419	0 10 22 60 72 78 84 88 94 100 112 150 162 172	39496631348