Prime p₀= 778254301314783497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 34 2 160 2 10 2 (?)
a_n: 0 2 12 14 24 26 84 86 120 122 282 284 294 296
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: 296
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 10 10 58 34 160 10

SPT(16)	778253302947680137	0 34 42 84 132 160 166 186 190 210 216 244 292 334 342 376	-998367103360
SPT(16)	778253406880769641	0 6 42 48 82 100 120 148 210 238 258 276 310 316 352 358	-894434013856
SPT(16)	778253458372268161	0 10 48 70 90 148 150 162 196 208 210 268 288 310 348 358	-842942515336
SPT(16)	778253468081110247	0 6 20 30 72 84 90 92 114 116 122 134 176 186 200 206	-833233673250
STPT(10)	778253901447027359	0 2 48 50 90 92 132 134 180 182	-399867756138
STPT(10)	778254263140425077	0 2 30 32 42 44 54 56 84 86	-38174358420
SPT(16)	778254623916970121	0 32 36 42 50 62 126 138 140 152 216 228 236 242 246 278	322602186624
SPT(16)	778254653629941841	0 6 58 70 100 108 118 132 136 150 160 168 198 210 262 268	352315158344
SPT(20)	778254818351232067	0 24 30 40 42 54 66 136 154 172 264 282 300 370 382 394 396 406 412 436	517036448570
SPT(16)	778254865364071451	0 6 26 32 68 108 126 158 180 212 230 270 306 312 332 338	564049287954
STPT(10)	778255157218530287	0 2 72 74 102 104 132 134 204 206	855903746790