Prime p₀= 928099669432867889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 76 2 10 2 16 2 (?)
a_n: 0 2 18 20 42 44 60 62 138 140 150 152 168 170
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: 170
Found by: crashtech
db: batch=76, k=14, 16 22 16 76 10 16

SPT(16)	928099078890337583	0 48 80 98 168 186 188 218 318 348 350 368 438 456 488 536	-590542530306
SPT(16)	928099320085271293	0 10 36 88 198 208 240 270 274 304 336 346 456 508 534 544	-349347596596
STPT(10)	928099358616369629	0 2 18 20 30 32 42 44 60 62	-310816498260
STPT(10)	928099426041252317	0 2 30 32 72 74 114 116 144 146	-243391615572
SPT(16)	928099445604396431	0 18 36 56 92 120 122 158 210 246 248 276 312 332 350 368	-223828471458
SPT(16)	928099532814701309	0 32 60 62 80 90 138 144 188 194 242 252 270 272 300 332	-136618166580
TPT(14)	928099761469008677	0 2 24 26 84 86 150 152 174 176 180 182 264 266	92036140788
SPT(16)	928099847790542953	0 40 64 78 108 114 130 154 180 204 220 226 256 270 294 334	178357675064
SPT(16)	928099951265194783	0 54 66 126 154 166 180 220 294 334 348 360 388 448 460 514	281832326894
STPT(12)	928100157024998687	0 2 30 32 72 74 90 92 132 134 162 164	487592130798
STPT(10)	928100184740966219	0 2 12 14 90 92 168 170 180 182	515308098330