Prime p₀= 2618392126691794811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 70 2 16 2 22 2 64 2 28 2 (?)
a_n: 0 2 66 68 138 140 156 158 180 182 246 248 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 64 70 16 22 64 28

STPT(10)	2618391128363764799	0 2 42 44 90 92 138 140 180 182	-998328030012
STPT(12)	2618391326493019151	0 2 90 92 126 128 180 182 216 218 306 308	-800198775660
SPT(16)	2618391529518689117	0 14 30 36 50 140 152 156 200 204 216 306 320 326 342 356	-597173105694
STPT(10)	2618391685113954719	0 2 12 14 30 32 48 50 60 62	-441577840092
SPT(16)	2618391960877601437	0 46 72 102 114 124 180 214 222 256 312 322 334 364 390 436	-165814193374
SPT(16)	2618392021450298869	0 24 90 118 132 142 172 174 178 180 210 220 234 262 328 352	-105241495942
SPT(16)	2618392521788658019	0 10 12 48 52 54 70 124 138 192 208 210 214 250 252 262	395096863208
STPT(10)	2618392554624568439	0 2 48 50 90 92 132 134 180 182	427932773628
SPT(16)	2618392610822739637	0 22 34 40 46 60 96 112 144 160 196 210 216 222 234 256	484130944826
SPT(16)	2618392782599194441	0 18 46 60 70 96 102 120 148 166 172 198 208 222 250 268	655907399630
STPT(10)	2618392920483136757	0 2 30 32 102 104 174 176 204 206	793791341946