Prime p₀= 2391626007820949099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 118 2 46 2 16 2 112 2 64 2 (?)
a_n: 0 2 12 14 132 134 180 182 198 200 312 314 378 380
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: 380
Found by: Conan
db: batch=81, k=14, 10 118 46 16 112 64

STPT(10)	2391624077790911981	0 2 78 80 108 110 138 140 216 218	-1930030037118
TPT(14)	2391624168030185609	0 2 42 44 138 140 162 164 288 290 300 302 378 380	-1839790763490
SPT(16)	2391624479336250461	0 8 62 66 78 120 128 162 176 210 218 260 272 276 330 338	-1528484698638
STPT(10)	2391624869327236379	0 2 12 14 90 92 168 170 180 182	-1138493712720
SPT(16)	2391625232716508573	0 54 74 80 116 170 180 206 228 254 264 318 354 360 380 434	-775104440526
STPT(10)	2391625867361080529	0 2 48 50 90 92 132 134 180 182	-140459868570
SPT(16)	2391626248852737257	0 60 72 104 114 116 152 162 194 204 240 242 252 284 296 356	241031788158
SPT(16)	2391626262924627163	0 58 64 88 96 100 144 166 168 190 234 238 246 270 276 334	255103678064
SPT(16)	2391626748655032023	0 56 78 80 108 158 168 174 260 266 276 326 354 356 378 434	740834082924
STPT(10)	2391626776355399249	0 2 42 44 60 62 78 80 120 122	768534450150
STPT(10)	2391627838869340439	0 2 18 20 30 32 42 44 60 62	1831048391340