Prime p₀= 1740057815621210471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 202 2 4 2 58 2 22 2 4 2 (?)
a_n: 0 2 36 38 240 242 246 248 306 308 330 332 336 338
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: 338
Found by: CoolAtchOk
db: batch=79, k=14, 34 202 4 58 22 4

SPT(16)	1740056426513762117	0 24 36 74 80 102 140 150 176 186 224 246 252 290 302 326	-1389107448354
SPT(16)	1740056689390481663	0 36 56 78 80 174 186 188 246 248 260 354 356 378 398 434	-1126230728808
SPT(16)	1740056853180261233	0 60 74 80 116 144 186 210 230 254 296 324 360 366 380 440	-962440949238
STPT(10)	1740057174276357029	0 2 18 20 30 32 42 44 60 62	-641344853442
SPT(16)	1740057417200894447	0 6 42 54 84 134 152 162 164 174 192 242 272 284 320 326	-398420316024
SPT(16)	1740057482290688357	0 20 56 90 140 150 170 186 296 312 332 342 392 426 462 482	-333330522114
STPT(10)	1740057991154396699	0 2 30 32 60 62 90 92 120 122	175533186228
SPT(16)	1740058009230997319	0 50 80 84 122 132 140 164 180 204 212 222 260 264 294 344	193609786848
STPT(10)	1740058344274050497	0 2 30 32 72 74 114 116 144 146	528652840026
STPT(10)	1740058955651485097	0 2 30 32 72 74 114 116 144 146	1140030274626
SPT(16)	1740059521972298671	0 6 36 82 112 126 156 160 162 166 196 210 240 286 316 322	1706351088200