Prime p₀= 205962572780517431 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 214 2 130 2 46 2 22 2 16 2 (?)
a_n: 0 2 216 218 348 350 396 398 420 422 438 440
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: 440
Found by: desktop64
db: batch=69, k=12, 214 130 46 22 16

TPT(12)	205962458609969561	0 2 36 38 78 80 90 92 216 218 276 278	-114170547870
SPT(14)	205962464568133267	0 30 46 54 100 144 154 156 166 210 256 264 280 310	-108212384164
SPT(14)	205962467214004769	0 2 48 72 92 98 108 182 192 198 218 242 288 290	-105566512662
TPT(12)	205962474692127887	0 2 24 26 54 56 114 116 270 272 294 296	-98088389544
SPT(14)	205962490494444367	0 12 40 46 66 112 124 132 144 190 210 216 244 256	-82286073064
TPT(12)	205962511488195401	0 2 18 20 90 92 168 170 186 188 240 242	-61292322030
SPT(14)	205962615868059409	0 24 52 84 94 112 132 190 210 228 238 270 298 322	43087541978
SPT(14)	205962616472852203	0 4 6 28 34 40 48 136 144 150 156 178 180 184	43692334772
TPT(12)	205962638367858179	0 2 12 14 108 110 150 152 168 170 192 194	65587340748
TPT(12)	205962653989525967	0 2 42 44 72 74 120 122 204 206 210 212	81209008536
SPT(14)	205962681973138507	0 16 54 60 70 76 82 174 180 186 196 202 240 256	109192621076