Prime p₀= 400277800087591187 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 64 2 28 2 52 2 4 2 (?)
a_n: 0 2 84 86 150 152 180 182 234 236 240 242
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: 242
Found by: Ralfy
db: batch=70, k=12, 82 64 28 52 4

SPT(14)	400277665897521689	0 12 14 32 54 78 102 110 134 158 180 198 200 212	-134190069498
TPT(12)	400277736722019887	0 2 42 44 54 56 90 92 150 152 210 212	-63365571300
SPT(14)	400277743316511551	0 2 102 126 140 168 182 186 200 228 242 266 366 368	-56771079636
SPT(14)	400277749125072307	0 4 12 34 40 54 60 124 130 144 150 172 180 184	-50962518880
SPT(14)	400277760597256603	0 18 40 90 118 154 208 216 270 306 334 384 406 424	-39490334584
SPT(14)	400277778927232123	0 16 46 66 114 124 136 144 156 166 214 234 264 280	-21160359064
TPT(12)	400277831656937189	0 2 48 50 72 74 138 140 300 302 312 314	31569346002
TPT(12)	400277834105474249	0 2 72 74 168 170 198 200 240 242 408 410	34017883062
SPT(14)	400277835849777233	0 6 14 54 98 108 140 174 206 216 260 300 308 314	35762186046
SPT(16)	400277840067803557	0 10 34 52 144 184 186 202 234 250 252 292 384 402 426 436	39980212370
TPT(12)	400277857058999921	0 2 66 68 138 140 150 152 180 182 198 200	56971408734