Prime p₀= 231708270723085547 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 16 2 10 2 58 2 4 2 (?)
a_n: 0 2 54 56 72 74 84 86 144 146 150 152
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: 152
Found by: Megacruncher
db: batch=69, k=12, 52 16 10 58 4

SPT(14)	231708225780790831	0 22 46 72 78 88 120 268 300 310 316 342 366 388	-44942294716
SPT(14)	231708229996268383	0 10 30 64 120 156 196 228 268 304 360 394 414 424	-40726817164
TPT(12)	231708245771349071	0 2 48 50 90 92 126 128 156 158 216 218	-24951736476
SPT(14)	231708254341260857	0 14 26 84 116 156 186 194 224 264 296 354 366 380	-16381824690
SPT(14)	231708262170398471	0 8 30 38 50 68 86 90 108 126 138 146 168 176	-8552687076
SPT(14)	231708265381553977	0 16 22 46 84 102 120 136 154 172 210 234 240 256	-5341531570
SPT(14)	231708276779199013	0 24 40 54 78 100 148 156 204 226 250 264 280 304	6056113466
SPT(14)	231708288498415129	0 18 22 24 60 64 70 102 108 112 148 150 154 172	17775329582
SPT(14)	231708289484982407	0 26 32 66 80 116 126 170 180 216 230 264 270 296	18761896860
TPT(12)	231708300839164481	0 2 36 38 66 68 78 80 90 92 138 140	30116078934
SPT(14)	231708319750252123	0 4 28 48 84 94 174 190 270 280 316 336 360 364	49027166576