Prime p₀= 724949034905789537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 28 2 136 2 16 2 10 2 (?)
a_n: 0 2 60 62 84 86 114 116 252 254 270 272 282 284
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: 284
Found by: LCB001
db: batch=73, k=14, 58 22 28 136 16 10

SPT(16)	724947526909445011	0 6 42 76 106 132 156 222 226 292 316 342 372 406 442 448	-1507996344526
SPT(16)	724947867658219619	0 8 14 18 24 74 84 108 170 194 204 254 260 264 270 278	-1167247569918
SPT(16)	724948063281565843	0 66 130 144 156 178 198 250 324 376 396 418 430 444 508 574	-971624223694
SPT(16)	724948080587082091	0 18 46 48 130 138 172 180 238 246 280 288 370 372 400 418	-954318707446
SPT(16)	724948738106115997	0 12 52 60 82 90 102 112 144 154 166 174 196 204 244 256	-296799673540
TPT(14)	724948838776598549	0 2 150 152 168 170 222 224 252 254 318 320 348 350	-196129190988
SPT(16)	724949290278161083	0 6 18 24 70 106 144 150 154 160 198 234 280 286 298 304	255372371546
STPT(10)	724949500232915141	0 2 30 32 60 62 90 92 120 122	465327125604
STPT(10)	724949611961588327	0 2 30 32 42 44 54 56 84 86	577055798790
SPT(16)	724949653313469403	0 28 30 54 58 70 88 94 270 276 294 306 310 334 336 364	618407679866
STPT(10)	724950003593164379	0 2 30 32 60 62 90 92 120 122	968687374842