Prime p₀= 404885146195160459 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 106 2 52 2 4 2 10 2 136 2 (?)
a_n: 0 2 108 110 162 164 168 170 180 182 318 320
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: 320
Found by: Cruncher Pete
db: batch=70, k=12, 106 52 4 10 136

TPT(12)	404885047541172941	0 2 30 32 78 80 96 98 138 140 150 152	-98653987518
SPT(14)	404885051536420547	0 30 32 36 54 74 110 126 162 182 200 204 206 236	-94658739912
SPT(14)	404885086806815389	0 22 42 88 90 144 150 172 178 232 234 280 300 322	-59388345070
SPT(14)	404885093201458927	0 40 52 94 150 154 172 204 222 226 282 324 336 376	-52993701532
SPT(14)	404885105769939647	0 26 32 56 90 102 146 186 230 242 276 300 306 332	-40425220812
TPT(12)	404885111677526267	0 2 54 56 60 62 72 74 144 146 264 266	-34517634192
SPT(14)	404885163074023087	0 10 24 42 52 60 96 100 136 144 154 172 186 196	16878862628
SPT(14)	404885170870948841	0 12 30 36 42 62 80 138 156 176 182 188 206 218	24675788382
SPT(14)	404885205285895441	0 46 66 76 106 112 120 142 150 156 186 196 216 262	59090734982
SPT(14)	404885274874980359	0 48 62 102 104 144 174 188 218 258 260 300 314 362	128679819900
SPT(14)	404885301837529607	0 6 12 30 90 120 132 240 252 282 342 360 366 372	155642369148