Prime p₀= 570395607296348831 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 124 2 52 2 34 2 10 2 10 2 (?)
a_n: 0 2 126 128 180 182 216 218 228 230 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=71, k=12, 124 52 34 10 10

TPT(12)	570395521493128139	0 2 30 32 72 74 198 200 252 254 378 380	-85803220692
TPT(12)	570395528881011077	0 2 12 14 24 26 60 62 72 74 102 104	-78415337754
SPT(14)	570395537785687543	0 10 18 30 40 66 76 108 118 144 154 166 174 184	-69510661288
SPT(14)	570395539403176681	0 52 60 108 112 130 132 148 150 168 172 220 228 280	-67893172150
SPT(14)	570395571123502039	0 18 24 60 70 114 142 180 208 252 262 298 304 322	-36172846792
TPT(12)	570395586852414611	0 2 36 38 66 68 96 98 138 140 156 158	-20443934220
SPT(14)	570395607726991621	0 16 22 46 60 66 70 102 106 112 126 150 156 172	430642790
SPT(14)	570395652864271973	0 6 84 114 120 140 144 296 300 320 326 356 434 440	45567923142
SPT(14)	570395663834836871	0 20 36 62 66 80 150 188 258 272 276 302 318 338	56538488040
SPT(14)	570395674488234757	0 10 66 82 100 120 136 156 172 192 210 226 282 292	67191885926
SPT(14)	570395696550661999	0 24 30 34 58 64 70 72 78 84 108 112 118 142	89254313168