Prime p₀= 585595475865486701 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 4 2 40 2 28 2 16 2 (?)
a_n: 0 2 60 62 66 68 108 110 138 140 156 158
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: 158
Found by: mcf2020
db: batch=71, k=12, 58 4 40 28 16

SPT(16)	585595382189161787	0 60 80 102 122 144 156 174 182 200 212 234 254 276 296 356	-93676324914
SPT(14)	585595411530446329	0 18 28 42 60 84 88 174 178 202 220 234 244 262	-64335040372
SPT(14)	585595412207556733	0 10 28 90 154 160 208 246 294 300 364 426 444 454	-63657929968
SPT(14)	585595419367095041	0 2 32 42 48 60 86 132 158 170 176 186 216 218	-56498391660
SPT(14)	585595431984794117	0 42 50 60 104 126 144 182 200 222 266 276 284 326	-43880692584
TPT(12)	585595458676219727	0 2 24 26 30 32 180 182 222 224 324 326	-17189266974
SPT(14)	585595481245464293	0 18 24 30 36 44 74 90 120 128 134 140 146 164	5379977592
SPT(14)	585595531868220661	0 40 76 88 100 126 142 156 172 198 210 222 258 298	56002733960
SPT(14)	585595536232405003	0 30 40 78 88 96 106 138 148 156 166 204 214 244	60366918302
SPT(14)	585595553605822939	0 18 58 70 78 88 148 222 282 292 300 312 352 370	77740336238
SPT(14)	585595563396916279	0 4 30 64 130 138 154 174 190 198 264 298 324 328	87531429578