Prime p₀= 438265093079667431 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 154 2 10 2 16 2 (?)
a_n: 0 2 6 8 30 32 186 188 198 200 216 218
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: 218
Found by: nenym
db: batch=70, k=12, 4 22 154 10 16

SPT(14)	438264977911312351	0 16 18 48 52 76 126 202 252 276 280 310 312 328	-115168355080
SPT(14)	438265019077355287	0 10 24 30 54 60 82 102 124 130 154 160 174 184	-74002312144
SPT(14)	438265020216880807	0 12 16 60 82 100 114 142 156 174 196 240 244 256	-72862786624
SPT(14)	438265039798529249	0 12 14 60 62 98 104 138 144 180 182 228 230 242	-53281138182
SPT(14)	438265058641624111	0 30 52 102 106 130 160 228 258 282 286 336 358 388	-34438043320
SPT(14)	438265065221254391	0 2 30 42 80 116 156 212 252 288 326 338 366 368	-27858413040
SPT(14)	438265094524365131	0 6 38 48 66 80 150 188 258 272 290 300 332 338	1444697700
SPT(14)	438265098594290731	0 22 36 52 66 70 82 96 108 112 126 142 156 178	5514623300
SPT(14)	438265119396492523	0 36 76 106 160 168 178 186 196 204 258 288 328 364	26316825092
SPT(14)	438265127421877781	0 2 32 90 120 158 168 230 240 278 308 366 396 398	34342210350
SPT(14)	438265143142009247	0 26 32 60 80 86 150 212 276 282 302 330 336 362	50062341816