Prime p₀= 400284030760295237 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 58 2 64 2 10 2 10 2 (?)
a_n: 0 2 24 26 84 86 150 152 162 164 174 176
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: 176
Found by: desktop64
db: batch=70, k=12, 22 58 64 10 10

TPT(12)	400283960336220809	0 2 30 32 78 80 168 170 312 314 330 332	-70424074428
SPT(14)	400283992027817731	0 36 40 42 78 88 162 196 270 280 316 318 322 358	-38732477506
SPT(14)	400283992135633373	0 6 14 36 50 80 98 216 234 264 278 300 308 314	-38624661864
TPT(12)	400283998144116017	0 2 150 152 204 206 222 224 282 284 294 296	-32616179220
SPT(14)	400284013031232899	0 24 44 60 62 84 144 170 230 252 254 270 290 314	-17729062338
SPT(14)	400284029371168549	0 18 22 24 34 40 54 118 132 138 148 150 154 172	-1389126688
SPT(14)	400284036093931667	0 20 32 72 104 116 140 186 210 222 254 294 306 326	5333636430
SPT(14)	400284039040515593	0 6 14 80 96 110 120 194 204 218 234 300 308 314	8280220356
SPT(14)	400284048211981939	0 22 42 48 54 64 70 102 108 118 124 130 150 172	17451686702
SPT(16)	400284050769758341	0 36 90 142 198 238 250 268 270 288 300 340 396 448 502 538	20009463104
SPT(14)	400284055048508357	0 44 60 72 90 132 140 174 182 224 242 254 270 314	24288213120