Prime p₀= 2117079474635730881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 46 2 22 2 28 2 64 2 (?)
a_n: 0 2 48 50 78 80 126 128 150 152 180 182 246 248
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: 248
Found by: Landjunge
db: batch=80, k=14, 46 28 46 22 28 64

SPT(16)	2117078027947365863	0 14 24 30 44 56 134 150 260 276 354 366 380 386 396 410	-1446688365018
SPT(16)	2117078040226733693	0 30 84 104 158 186 194 198 296 300 308 336 390 410 464 494	-1434408997188
SPT(16)	2117078128492599359	0 2 50 62 72 110 132 138 374 380 402 440 450 462 510 512	-1346143131522
SPT(16)	2117078149625392529	0 8 20 42 44 114 140 240 272 372 398 468 470 492 504 512	-1325010338352
STPT(10)	2117079256444899947	0 2 54 56 72 74 90 92 144 146	-218190830934
STPT(10)	2117079277024124027	0 2 24 26 42 44 60 62 84 86	-197611606854
TPT(16)	2117079529212069179	0 2 60 62 90 92 198 200 288 290 312 314 372 374 378 380	54576338298
SPT(16)	2117079596157737927	0 2 20 24 30 60 132 144 170 182 254 284 290 294 312 314	121522007046
SPT(16)	2117079689096666477	0 36 50 84 96 120 126 140 240 254 260 284 296 330 344 380	214460935596
SPT(16)	2117079887187272443	0 10 18 30 76 94 126 148 156 178 210 228 274 286 294 304	412551541562
SPT(16)	2117079924304443661	0 6 12 90 96 202 250 280 432 462 510 616 622 700 706 712	449668712780