Prime p₀= 2010012830027018807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 208 2 40 2 28 2 34 2 (?)
a_n: 0 2 12 14 72 74 282 284 324 326 354 356 390 392
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: 392
Found by: Landjunge
db: batch=80, k=14, 10 58 208 40 28 34

TPT(14)	2010010901977300889	0 2 30 32 102 104 120 122 168 170 240 242 300 302	-1928049717918
SPT(18)	2010011110779836147	0 12 36 44 62 104 114 216 282 284 350 452 462 504 522 530 554 566	-1719247182660
SPT(16)	2010011583482201087	0 20 26 42 122 174 176 222 314 360 362 414 494 510 516 536	-1246544817720
SPT(16)	2010012024492682789	0 28 52 54 88 118 144 148 234 238 264 294 328 330 354 382	-805534336018
SPT(16)	2010012429071004311	0 32 50 56 66 120 170 182 186 198 248 302 312 318 336 368	-400956014496
SPT(16)	2010012433190824583	0 8 36 66 78 126 138 156 218 236 248 296 308 338 366 374	-396836194224
STPT(10)	2010013272187184351	0 2 6 8 48 50 90 92 96 98	442160165544
STPT(10)	2010013479165126077	0 2 24 26 42 44 60 62 84 86	649138107270
STPT(10)	2010013517754159857	0 2 30 32 60 62 90 92 120 122	687727141050
STPT(10)	2010013729245823967	0 2 30 32 42 44 54 56 84 86	899218805160
STPT(10)	2010013777076107457	0 2 54 56 72 74 90 92 144 146	947049088650