Prime p₀= 584479265422207481 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 28 2 64 2 10 2 (?)
a_n: 0 2 6 8 30 32 60 62 126 128 138 140
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: 140
Found by: Alnitak2019
db: batch=71, k=12, 4 22 28 64 10

SPT(14)	584479167126377087	0 54 56 74 90 96 102 134 140 146 162 180 182 236	-98295830394
SPT(14)	584479186340245109	0 14 30 44 60 62 72 200 210 212 228 242 258 272	-79081962372
SPT(14)	584479191547695503	0 24 44 114 140 156 198 206 248 264 290 360 380 404	-73874511978
SPT(14)	584479245812659543	0 16 34 54 100 166 190 210 234 300 346 366 384 400	-19609547938
SPT(14)	584479251521544037	0 94 150 154 156 180 204 256 280 304 306 310 366 460	-13900663444
SPT(14)	584479259700557569	0 10 78 82 102 148 174 208 234 280 300 304 372 382	-5721649912
SPT(14)	584479269587937817	0 10 16 30 52 70 90 112 132 150 172 186 192 202	4165730336
SPT(14)	584479277339405761	0 10 42 48 102 108 136 252 280 286 340 346 378 388	11917198280
SPT(14)	584479295011831231	0 18 60 78 88 126 132 166 172 210 220 238 280 298	29589623750
SPT(14)	584479299855498739	0 40 42 102 118 174 318 454 598 654 670 730 732 772	34433291258
SPT(14)	584479302176251177	0 16 22 40 42 54 64 132 142 154 156 174 180 196	36754043696