Prime p₀= 956958958395062729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 4 2 58 2 28 2 40 2 (?)
a_n: 0 2 30 32 72 74 78 80 138 140 168 170 210 212
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: 212
Found by: stoneageman
db: batch=76, k=14, 28 40 4 58 28 40

SPT(16)	956958131624539439	0 2 48 80 92 134 150 182 330 362 378 420 432 464 510 512	-826770523290
SPT(16)	956958498844265989	0 10 18 30 42 52 60 84 88 112 120 130 142 154 162 172	-459550796740
SPT(16)	956958752226591923	0 14 30 96 98 138 204 230 414 440 506 546 548 614 630 644	-206168470806
SPT(16)	956958789255907943	0 44 60 84 86 96 138 156 278 296 338 348 350 374 390 434	-169139154786
SPT(16)	956958804601126489	0 42 60 100 148 162 172 222 238 288 298 312 360 400 418 460	-153793936240
SPT(16)	956958814647003451	0 10 12 30 40 138 150 178 252 280 292 390 400 418 420 430	-143748059278
SPT(16)	956958992505666373	0 136 174 186 208 214 238 300 304 366 390 396 418 430 468 604	34110603644
SPT(16)	956959151562660343	0 6 28 48 76 100 108 118 276 286 294 318 346 366 388 394	193167597614
SPT(16)	956959221246500893	0 16 28 58 66 70 108 148 156 196 234 238 246 276 288 304	262851438164
STPT(10)	956959446009481877	0 2 30 32 42 44 54 56 84 86	487614419148
SPT(16)	956959513684429471	0 30 150 156 186 196 216 220 258 262 282 292 322 328 448 478	555289366742