Prime p₀= 2499918721604614397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 4 2 58 2 70 2 76 2 (?)
a_n: 0 2 42 44 84 86 90 92 150 152 222 224 300 302
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: conf [MM]
db: batch=82, k=14, 40 40 4 58 70 76

STPT(12)	2499917224468838297	0 2 12 14 30 32 114 116 132 134 144 146	-1497135776100
STPT(10)	2499917496208020737	0 2 30 32 60 62 90 92 120 122	-1225396593660
STPT(12)	2499917618528379611	0 2 6 8 90 92 156 158 240 242 246 248	-1103076234786
SPT(16)	2499917805489686119	0 28 48 54 82 88 90 130 132 172 174 180 208 214 234 262	-916114928278
STPT(10)	2499918393585648977	0 2 30 32 42 44 54 56 84 86	-328018965420
STPT(10)	2499918401365395629	0 2 48 50 90 92 132 134 180 182	-320239218768
SPT(16)	2499918945761916781	0 22 42 48 90 100 120 138 142 160 180 190 232 238 258 280	224157302384
TPT(14)	2499918986423209259	0 2 72 74 150 152 192 194 240 242 252 254 270 272	264818594862
SPT(16)	2499919086277625279	0 42 54 80 108 144 164 180 182 198 218 254 282 308 320 362	364673010882
STPT(10)	2499919196183097719	0 2 30 32 60 62 90 92 120 122	474578483322
SPT(16)	2499920214451730453	0 110 120 158 164 194 264 270 284 290 360 390 396 434 444 554	1492847116056