Prime p₀= 2013624443114619617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 70 2 76 2 16 2 10 2 46 2 (?)
a_n: 0 2 102 104 174 176 252 254 270 272 282 284 330 332
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: 332
Found by: Chooka
db: batch=80, k=14, 100 70 76 16 10 46

SPT(16)	2013622892011629511	0 18 30 40 42 82 120 130 138 148 186 226 228 238 250 268	-1551102990106
STPT(10)	2013623107233693617	0 2 54 56 132 134 210 212 264 266	-1335880926000
SPT(16)	2013623349999239207	0 6 32 50 140 144 146 162 164 180 182 186 276 294 320 326	-1093115380410
SPT(16)	2013623606936024059	0 18 28 34 82 84 114 144 268 298 328 330 378 384 394 412	-836178595558
STPT(10)	2013624153188243381	0 2 30 32 60 62 90 92 120 122	-289926376236
SPT(16)	2013624298593008767	0 24 40 42 46 72 102 186 190 274 304 330 334 336 352 376	-144521610850
SPT(16)	2013624657100884059	0 14 60 78 144 200 218 284 294 360 378 434 500 518 564 578	213986264442
TPT(14)	2013624849731170679	0 2 48 50 132 134 330 332 390 392 420 422 462 464	406616551062
STPT(10)	2013624870942223541	0 2 30 32 60 62 90 92 120 122	427827603924
STPT(10)	2013624886826210699	0 2 18 20 30 32 42 44 60 62	443711591082
STPT(10)	2013624914570673377	0 2 30 32 42 44 54 56 84 86	471456053760