Prime p₀= 182975653008631937 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 4 2 40 2 10 2 (?)
a_n: 0 2 24 26 54 56 60 62 102 104 114 116
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: 116
Found by: Cruncher Pete
db: batch=69, k=12, 22 28 4 40 10

SPT(14)	182975582407280419	0 42 58 64 120 130 142 150 162 172 228 234 250 292	-70601351518
SPT(14)	182975600126162971	0 36 78 88 108 112 142 156 186 190 210 220 262 298	-52882468966
SPT(14)	182975613546133921	0 36 42 60 102 148 178 210 240 286 328 346 352 388	-39462498016
TPT(12)	182975624381632547	0 2 90 92 150 152 192 194 210 212 234 236	-28626999390
TPT(12)	182975635263435821	0 2 6 8 48 50 288 290 300 302 378 380	-17745196116
TPT(12)	182975636162311049	0 2 30 32 72 74 120 122 222 224 252 254	-16846320888
TPT(12)	182975661186050021	0 2 48 50 198 200 246 248 300 302 420 422	8177418084
TPT(12)	182975691360013637	0 2 42 44 54 56 114 116 120 122 150 152	38351381700
SPT(14)	182975692817420311	0 6 28 40 42 72 196 252 376 406 408 420 442 448	39808788374
SPT(16)	182975692869454291	0 28 42 60 76 88 100 102 226 228 240 252 268 286 300 328	39860822354
TPT(12)	182975699523623129	0 2 48 50 90 92 132 134 138 140 168 170	46514991192