Prime p₀= 779638897884641381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 46 2 28 2 40 2 10 2 76 2 (?)
a_n: 0 2 108 110 156 158 186 188 228 230 240 242 318 320
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: 320
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 106 46 28 40 10 76

SPT(16)	779637519708565031	0 12 38 56 66 92 96 182 216 302 306 332 342 360 386 398	-1378176076350
TPT(14)	779637577729143017	0 2 24 26 54 56 132 134 222 224 252 254 294 296	-1320155498364
STPT(10)	779637702532264361	0 2 36 38 78 80 120 122 156 158	-1195352377020
TPT(14)	779637720407443277	0 2 72 74 90 92 120 122 132 134 144 146 162 164	-1177477198104
SPT(18)	779638003725720731	0 20 48 78 120 128 132 170 182 246 258 296 300 308 350 380 408 428	-894158920650
STPT(10)	779638449964895837	0 2 30 32 42 44 54 56 84 86	-447919745544
SPT(16)	779638928988797953	0 4 6 34 66 78 108 174 190 256 286 298 330 358 360 364	31104156572
SPT(16)	779639009495818141	0 28 66 70 90 112 148 150 178 180 216 238 258 262 300 328	111611176760
SPT(16)	779639602310377531	0 10 28 46 76 88 108 112 126 130 150 162 192 210 228 238	704425736150
STPT(10)	779640086227534289	0 2 18 20 30 32 42 44 60 62	1188342892908
STPT(10)	779640488046679949	0 2 18 20 30 32 42 44 60 62	1590162038568