Prime p₀= 1981999427213321429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 28 2 46 2 58 2 28 2 (?)
a_n: 0 2 18 20 102 104 132 134 180 182 240 242 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 16 82 28 46 58 28

SPT(16)	1981997687236027793	0 24 50 54 90 104 140 180 248 288 324 338 374 378 404 428	-1739977293636
SPT(16)	1981997989388770981	0 42 60 66 88 136 180 192 316 328 372 420 442 448 466 508	-1437824550448
STPT(10)	1981998621227789531	0 2 6 8 48 50 90 92 96 98	-805985531898
STPT(10)	1981998629976738827	0 2 24 26 42 44 60 62 84 86	-797236582602
SPT(16)	1981998961656963331	0 66 76 78 88 90 132 250 258 376 418 420 430 432 442 508	-465556358098
SPT(16)	1981999366991799517	0 24 52 60 126 172 190 202 204 216 234 280 346 354 382 406	-60221521912
STPT(10)	1981999467399695717	0 2 30 32 42 44 54 56 84 86	40186374288
STPT(10)	1981999557571527971	0 2 36 38 78 80 120 122 156 158	130358206542
STPT(10)	1981999606300090847	0 2 30 32 42 44 54 56 84 86	179086769418
SPT(16)	1981999826320761593	0 14 56 108 114 140 164 168 206 210 234 260 266 318 360 374	399107440164
SPT(16)	1981999877505835003	0 70 94 124 174 180 238 280 354 396 454 460 510 540 564 634	450292513574