Prime p₀= 445351134434673161 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 58 2 4 2 118 2 118 2 (?)
a_n: 0 2 60 62 120 122 126 128 246 248 366 368
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: 368
Found by: RoXoR
db: batch=70, k=12, 58 58 4 118 118

SPT(14)	445351077152888983	0 30 70 76 84 90 114 130 154 160 168 174 214 244	-57281784178
SPT(14)	445351079238689311	0 6 18 28 36 48 76 102 130 142 150 160 172 178	-55195983850
SPT(14)	445351082616310439	0 20 44 60 74 90 114 134 158 174 188 204 228 248	-51818362722
SPT(14)	445351088331313139	0 30 48 114 122 152 164 198 210 240 248 314 332 362	-46103360022
SPT(14)	445351105336823327	0 26 42 56 80 96 152 180 236 252 276 290 306 332	-29097849834
SPT(14)	445351125229694003	0 38 50 66 68 110 134 180 204 246 248 264 276 314	-9204979158
SPT(14)	445351174484187599	0 20 38 68 132 158 168 332 342 368 432 462 480 500	40049514438
TPT(12)	445351182547803407	0 2 30 32 42 44 54 56 120 122 150 152	48113130246
TPT(12)	445351185611956529	0 2 42 44 48 50 120 122 138 140 162 164	51177283368
SPT(14)	445351188896072863	0 6 10 48 54 66 76 138 148 160 166 204 208 214	54461399702
SPT(14)	445351190208862559	0 30 48 68 84 90 98 114 122 128 144 164 182 212	55774189398