Prime p₀= 787466493565795229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 46 2 118 2 52 2 118 2 (?)
a_n: 0 2 60 62 90 92 138 140 258 260 312 314 432 434
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 434
Found by: WTBroughton
db: batch=73, k=14, 58 28 46 118 52 118

STPT(12)	787464934466689859	0 2 42 44 48 50 72 74 78 80 120 122	-1559099105370
SPT(16)	787465169885528909	0 20 132 134 152 168 180 224 228 272 284 300 318 320 432 452	-1323680266320
SPT(16)	787465864515259157	0 12 60 62 96 104 120 210 236 326 342 350 384 386 434 446	-629050536072
SPT(16)	787466001869545331	0 78 86 92 102 168 186 188 240 242 260 326 336 342 350 428	-491696249898
SPT(16)	787466198542520027	0 6 26 32 62 84 104 126 170 192 212 234 264 270 290 296	-295023275202
SPT(16)	787466232817893217	0 4 30 36 40 54 106 112 114 120 172 186 190 196 222 226	-260747902012
STPT(12)	787466530556264759	0 2 48 50 90 92 180 182 222 224 270 272	36990469530
SPT(16)	787467069899369927	0 12 86 90 110 114 140 152 204 216 242 246 266 270 344 356	576333574698
SPT(16)	787467505944337063	0 4 70 88 96 114 124 184 240 300 310 328 336 354 420 424	1012378541834
SPT(16)	787467546764530999	0 24 28 30 58 64 90 112 120 142 168 174 202 204 208 232	1053198735770
SPT(16)	787467560681170067	0 12 62 110 122 156 180 182 240 242 266 300 312 360 410 422	1067115374838