Prime p₀= 743834627487525137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 52 2 34 2 40 2 58 2 16 2 (?)
a_n: 0 2 90 92 144 146 180 182 222 224 282 284 300 302
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: 302
Found by: Theadalus
db: batch=73, k=14, 88 52 34 40 58 16

SPT(16)	743832938875071623	0 18 36 54 68 84 120 140 174 194 230 246 260 278 296 314	-1688612453514
SPT(16)	743832962378475401	0 18 32 116 122 146 152 180 188 216 222 246 252 336 350 368	-1665109049736
SPT(16)	743833576587628117	0 24 30 40 42 90 114 154 222 262 286 334 336 346 352 376	-1050899897020
SPT(16)	743833894628539801	0 10 102 106 126 130 142 172 216 246 258 262 282 286 378 388	-732858985336
SPT(16)	743834179595989813	0 24 34 88 90 100 154 184 270 300 354 364 366 420 430 454	-447891535324
SPT(16)	743834513517789451	0 18 30 42 52 72 76 168 220 312 316 336 346 358 370 388	-113969735686
STPT(10)	743834831502901517	0 2 30 32 42 44 54 56 84 86	204015376380
SPT(16)	743834935528916339	0 38 44 72 104 168 192 240 272 320 344 408 440 468 474 512	308041391202
SPT(16)	743835259250135137	0 12 24 54 60 180 184 196 210 222 226 346 352 382 394 406	631762610000
SPT(16)	743835522099786163	0 6 60 76 144 178 186 210 214 238 246 280 348 364 418 424	894612261026
STPT(10)	743835542580101999	0 2 18 20 30 32 42 44 60 62	915092576862