Prime p₀= 726845482763842901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 64 2 28 2 28 2 40 2 (?)
a_n: 0 2 18 20 90 92 156 158 186 188 216 218 258 260
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: 260
Found by: Theadalus
db: batch=73, k=14, 16 70 64 28 28 40

TPT(14)	726844205606781929	0 2 30 32 78 80 168 170 198 200 240 242 252 254	-1277157060972
STPT(10)	726844461536935829	0 2 42 44 90 92 138 140 180 182	-1021226907072
SPT(16)	726844913246536463	0 14 18 26 30 84 110 114 140 144 170 224 228 236 240 254	-569517306438
STPT(10)	726845191513427417	0 2 12 14 72 74 132 134 144 146	-291250415484
STPT(10)	726845380130389697	0 2 60 62 72 74 84 86 144 146	-102633453204
SPT(16)	726845442473545771	0 90 150 160 162 168 210 220 228 238 280 286 288 298 358 448	-40290297130
STPT(10)	726845523357386117	0 2 24 26 42 44 60 62 84 86	40593543216
STPT(10)	726845697050829371	0 2 36 38 78 80 120 122 156 158	214286986470
SPT(16)	726845743889314657	0 100 136 150 154 156 166 174 262 270 280 282 286 300 336 436	261125471756
SPT(16)	726845781664649561	0 80 96 116 188 228 258 266 270 278 308 348 420 440 456 536	298900806660
SPT(16)	726845952463325309	0 18 20 44 68 90 158 182 240 264 332 354 378 402 404 422	469699482408