Prime p₀= 2355024056666898311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 22 2 28 2 64 2 52 2 (?)
a_n: 0 2 30 32 36 38 60 62 90 92 156 158 210 212
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: Time_Traveler
db: batch=81, k=14, 28 4 22 28 64 52

STPT(10)	2355022743250776407	0 2 30 32 42 44 54 56 84 86	-1313416121904
STPT(10)	2355022937440389647	0 2 54 56 72 74 90 92 144 146	-1119226508664
STPT(10)	2355023236704942647	0 2 30 32 42 44 54 56 84 86	-819961955664
SPT(16)	2355023289310381447	0 46 64 102 130 132 234 244 312 322 424 426 454 492 510 556	-767356516864
SPT(16)	2355023496712711259	0 14 50 78 128 162 194 260 282 348 380 414 464 492 528 542	-559954187052
SPT(16)	2355023731217050979	0 8 72 78 150 152 192 198 332 338 378 380 452 458 522 530	-325449847332
SPT(16)	2355024094577671663	0 66 76 90 136 156 160 168 226 234 238 258 304 318 328 394	37910773352
SPT(16)	2355024267450556099	0 40 54 88 114 118 138 142 210 214 234 238 264 298 312 352	210783657788
TPT(14)	2355024306857608949	0 2 12 14 78 80 90 92 162 164 300 302 342 344	250190710638
STPT(10)	2355024309295849559	0 2 18 20 30 32 42 44 60 62	252628951248
SPT(16)	2355024380339329471	0 16 36 42 66 196 226 276 292 342 372 502 526 532 552 568	323672431160