Prime p₀= 52791738491960021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 46 2 22 2 (?)
a_n: 0 2 36 38 66 68 108 110 156 158 180 182
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: 182
Found by: UBT - Timbo
db: batch=65, k=12, 34 28 40 46 22

TPT(12)	52791672976763267	0 2 42 44 180 182 222 224 264 266 282 284	-65515196754
SPT(14)	52791702746288581	0 12 70 106 108 132 148 150 166 190 192 228 286 298	-35745671440
SPT(14)	52791714943457069	0 32 38 72 108 138 158 222 242 272 308 342 348 380	-23548502952
SPT(14)	52791715221819841	0 42 60 82 88 102 112 156 166 180 186 208 226 268	-23270140180
SPT(14)	52791729358704929	0 32 60 80 110 140 164 180 204 234 264 284 312 344	-9133255092
SPT(14)	52791735405902729	0 14 42 84 110 140 150 152 162 192 218 260 288 302	-3086057292
SPT(14)	52791749217213229	0 40 132 138 234 240 262 300 322 328 424 430 522 562	10725253208
SPT(14)	52791755079770761	0 40 42 46 66 70 88 90 108 112 132 136 138 178	16587810740
SPT(14)	52791775173711283	0 30 34 36 66 84 114 160 190 208 238 240 244 274	36681751262
SPT(14)	52791781444090831	0 18 28 52 90 120 130 150 160 190 228 252 262 280	42952130810
TPT(12)	52791787779757841	0 2 48 50 66 68 138 140 150 152 180 182	49287797820