Prime p₀= 403033265929506857 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 190 2 4 2 70 2 40 2 (?)
a_n: 0 2 12 14 204 206 210 212 282 284 324 326
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: 326
Found by: Cruncher Pete
db: batch=70, k=12, 10 190 4 70 40

SPT(14)	403033210088465987	0 42 60 62 84 90 122 252 284 290 312 314 332 374	-55841040870
SPT(14)	403033219801980071	0 6 20 30 68 90 108 170 188 210 248 258 272 278	-46127526786
TPT(12)	403033233998702717	0 2 42 44 102 104 132 134 174 176 252 254	-31930804140
SPT(14)	403033235257681871	0 20 30 50 86 96 150 152 206 216 252 272 282 302	-30671824986
SPT(14)	403033251069626929	0 34 48 90 142 148 220 222 294 300 352 394 408 442	-14859879928
SPT(14)	403033256851756073	0 30 44 56 90 96 114 116 134 140 174 186 200 230	-9077750784
SPT(16)	403033266650912561	0 48 60 68 86 108 140 152 186 198 230 252 270 278 290 338	721405704
SPT(16)	403033274061504997	0 10 30 40 52 60 100 102 190 192 232 240 252 262 282 292	8131998140
SPT(14)	403033282661154083	0 24 54 78 96 120 138 206 224 248 266 290 320 344	16731647226
SPT(14)	403033290875239723	0 18 30 40 48 66 76 108 118 136 144 154 166 184	24945732866
SPT(16)	403033292616388627	0 6 34 40 70 102 112 114 142 144 154 186 216 222 250 256	26686881770