Prime p₀= 2628035425646424791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 28 2 10 2 40 2 124 2 (?)
a_n: 0 2 60 62 96 98 126 128 138 140 180 182 306 308
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: 308
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 58 34 28 10 40 124

SPT(18)	2628032676800148469	0 12 52 54 150 202 220 234 250 264 280 294 312 364 460 462 502 514	-2748846276322
SPT(16)	2628034504398738727	0 36 52 76 90 130 174 196 210 232 276 316 330 354 370 406	-921247686064
STPT(10)	2628034807905610589	0 2 48 50 90 92 132 134 180 182	-617740814202
SPT(16)	2628034889332400263	0 24 66 78 108 126 144 150 154 160 178 196 226 238 280 304	-536314024528
STPT(10)	2628034943665390739	0 2 18 20 30 32 42 44 60 62	-481981034052
SPT(16)	2628034997824929551	0 8 20 26 48 140 150 158 210 218 228 320 342 348 360 368	-427821495240
TPT(14)	2628035684403024029	0 2 138 140 162 164 198 200 210 212 252 254 288 290	258756599238
SPT(16)	2628035749474158679	0 18 28 54 78 90 108 144 238 274 292 304 328 354 364 382	323827733888
SPT(16)	2628035958944371219	0 40 52 70 100 114 132 160 192 220 238 252 282 300 312 352	533297946428
STPT(10)	2628036083602773587	0 2 30 32 102 104 174 176 204 206	657956348796
STPT(10)	2628036262809840731	0 2 30 32 60 62 90 92 120 122	837163415940