Prime p₀= 1524095845217303999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 34 2 10 2 70 2 46 2 (?)
a_n: 0 2 102 104 132 134 168 170 180 182 252 254 300 302
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: xii5ku
db: batch=78, k=14, 100 28 34 10 70 46

SPT(16)	1524094147892814467	0 72 110 114 134 180 210 224 300 314 344 390 410 414 452 524	-1697324489532
STPT(12)	1524094293319580429	0 2 18 20 42 44 168 170 192 194 210 212	-1551897723570
TPT(14)	1524094402720211171	0 2 168 170 210 212 300 302 348 350 378 380 390 392	-1442497092828
SPT(16)	1524094461411457093	0 4 78 88 90 130 148 168 190 210 228 268 270 280 354 358	-1383805846906
SPT(16)	1524094508350237903	0 48 88 126 148 216 238 276 280 318 340 408 430 468 508 556	-1336867066096
SPT(16)	1524094707865384481	0 8 26 60 80 110 186 236 402 452 528 558 578 612 630 638	-1137351919518
STPT(10)	1524096125126200139	0 2 42 44 90 92 138 140 180 182	279908896140
SPT(16)	1524096440995708289	0 30 62 90 98 114 152 168 194 210 248 264 272 300 332 362	595778404290
SPT(16)	1524096706763457971	0 2 6 8 26 48 138 146 162 170 260 282 300 302 306 308	861546153972
SPT(16)	1524096913443560501	0 50 90 168 170 206 240 246 260 266 300 336 338 416 456 506	1068226256502
TPT(14)	1524096915311712419	0 2 12 14 18 20 30 32 60 62 108 110 150 152	1070094408420