Prime p₀= 2628035684403024029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 22 2 34 2 10 2 40 2 34 2 (?)
a_n: 0 2 138 140 162 164 198 200 210 212 252 254 288 290
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: 290
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 136 22 34 10 40 34

SPT(16)	2628034504398738727	0 36 52 76 90 130 174 196 210 232 276 316 330 354 370 406	-1180004285302
STPT(10)	2628034807905610589	0 2 48 50 90 92 132 134 180 182	-876497413440
SPT(16)	2628034889332400263	0 24 66 78 108 126 144 150 154 160 178 196 226 238 280 304	-795070623766
STPT(10)	2628034943665390739	0 2 18 20 30 32 42 44 60 62	-740737633290
SPT(16)	2628034997824929551	0 8 20 26 48 140 150 158 210 218 228 320 342 348 360 368	-686578094478
TPT(14)	2628035425646424791	0 2 60 62 96 98 126 128 138 140 180 182 306 308	-258756599238
SPT(16)	2628035749474158679	0 18 28 54 78 90 108 144 238 274 292 304 328 354 364 382	65071134650
SPT(16)	2628035958944371219	0 40 52 70 100 114 132 160 192 220 238 252 282 300 312 352	274541347190
STPT(10)	2628036083602773587	0 2 30 32 102 104 174 176 204 206	399199749558
STPT(10)	2628036262809840731	0 2 30 32 60 62 90 92 120 122	578406816702
SPT(16)	2628036512278059899	0 38 60 108 224 230 234 290 312 368 372 378 494 542 564 602	827875035870