Prime p₀= 1988334435032858711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 28 2 10 2 4 2 (?)
a_n: 0 2 36 38 66 68 78 80 108 110 120 122 126 128
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: 128
Found by: JonS
db: batch=80, k=14, 34 28 10 28 10 4

STPT(10)	1988333421225742649	0 2 42 44 60 62 78 80 120 122	-1013807116062
SPT(16)	1988333464974891173	0 6 60 140 144 254 258 300 434 476 480 590 594 674 728 734	-970057967538
TPT(14)	1988333482622488409	0 2 198 200 258 260 330 332 498 500 510 512 588 590	-952410370302
SPT(16)	1988334022648010473	0 18 46 100 130 174 178 198 256 276 280 324 354 408 436 454	-412384848238
STPT(10)	1988334174911955329	0 2 42 44 90 92 138 140 180 182	-260120903382
TPT(14)	1988334298119472781	0 2 168 170 210 212 240 242 258 260 366 368 420 422	-136913385930
SPT(16)	1988335118224716389	0 18 24 198 204 228 284 338 450 504 560 584 590 764 770 788	683191857678
SPT(16)	1988335500213281699	0 78 132 140 182 194 258 294 308 344 408 420 462 470 524 602	1065180422988
SPT(16)	1988335942968399313	0 34 64 66 90 126 150 178 186 214 238 274 298 300 330 364	1507935540602
STPT(10)	1988336192041410707	0 2 12 14 42 44 72 74 84 86	1757008551996
SPT(20)	1988336197011775867	0 40 46 60 100 102 144 156 166 190 246 270 280 292 334 336 376 390 396 436	1761978917156