Prime p₀= 928099761469008677 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 64 2 22 2 4 2 82 2 (?)
a_n: 0 2 24 26 84 86 150 152 174 176 180 182 264 266
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: 266
Found by: crashtech
db: batch=76, k=14, 22 58 64 22 4 82

SPT(16)	928099320085271293	0 10 36 88 198 208 240 270 274 304 336 346 456 508 534 544	-441383737384
STPT(10)	928099358616369629	0 2 18 20 30 32 42 44 60 62	-402852639048
STPT(10)	928099426041252317	0 2 30 32 72 74 114 116 144 146	-335427756360
SPT(16)	928099445604396431	0 18 36 56 92 120 122 158 210 246 248 276 312 332 350 368	-315864612246
SPT(16)	928099532814701309	0 32 60 62 80 90 138 144 188 194 242 252 270 272 300 332	-228654307368
TPT(14)	928099669432867889	0 2 18 20 42 44 60 62 138 140 150 152 168 170	-92036140788
SPT(16)	928099847790542953	0 40 64 78 108 114 130 154 180 204 220 226 256 270 294 334	86321534276
SPT(16)	928099951265194783	0 54 66 126 154 166 180 220 294 334 348 360 388 448 460 514	189796186106
STPT(12)	928100157024998687	0 2 30 32 72 74 90 92 132 134 162 164	395555990010
STPT(10)	928100184740966219	0 2 12 14 90 92 168 170 180 182	423271957542
SPT(16)	928100231295757831	0 10 28 36 70 76 90 106 120 136 150 156 190 198 216 226	469826749154