Prime p₀= 2759019730115066567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 88 2 4 2 58 2 40 2 (?)
a_n: 0 2 84 86 114 116 204 206 210 212 270 272 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 82 28 88 4 58 40

SPT(16)	2759018471707119007	0 22 36 60 102 106 124 204 232 312 330 334 376 400 414 436	-1258407947560
STPT(12)	2759018586976335179	0 2 12 14 42 44 108 110 138 140 150 152	-1143138731388
SPT(16)	2759018782407481261	0 6 10 82 100 148 162 178 180 196 210 258 276 348 352 358	-947707585306
STPT(10)	2759018946678295619	0 2 42 44 90 92 138 140 180 182	-783436770948
SPT(16)	2759019055408103359	0 28 60 70 120 130 148 204 208 264 282 292 342 352 384 412	-674706963208
STPT(10)	2759019707264852387	0 2 30 32 72 74 114 116 144 146	-22850214180
SPT(16)	2759020112696581571	0 12 32 56 68 102 138 206 252 320 356 390 402 426 446 458	382581515004
SPT(16)	2759020113018148841	0 26 38 56 80 86 96 108 158 170 180 186 210 228 240 266	382903082274
TPT(14)	2759020195453044431	0 2 60 62 96 98 138 140 198 200 396 398 438 440	465337977864
SPT(16)	2759020245455892773	0 18 24 38 66 104 120 134 150 164 180 218 246 260 266 284	515340826206
SPT(16)	2759020381916755883	0 14 24 54 78 80 150 174 224 248 318 320 344 374 384 398	651801689316