Prime p₀= 2512832896964945831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 100 2 64 2 28 2 22 2 (?)
a_n: 0 2 6 8 78 80 180 182 246 248 276 278 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 4 70 100 64 28 22

SPT(16)	2512832626219612357	0 30 90 124 162 190 204 220 264 280 294 322 360 394 454 484	-270745333474
STPT(12)	2512832694106090997	0 2 42 44 54 56 90 92 102 104 144 146	-202858854834
SPT(16)	2512832703716119033	0 100 126 144 168 184 196 204 280 288 300 316 340 358 384 484	-193248826798
SPT(16)	2512832737423648709	0 20 44 80 180 194 324 348 410 434 564 578 678 714 738 758	-159541297122
STPT(12)	2512832765724822347	0 2 30 32 42 44 162 164 174 176 204 206	-131240123484
SPT(16)	2512832896599960097	0 22 154 190 270 294 304 340 426 462 472 496 576 612 744 766	-364985734
STPT(10)	2512832997731186069	0 2 42 44 60 62 78 80 120 122	100766240238
STPT(10)	2512833293427256769	0 2 12 14 30 32 48 50 60 62	396462310938
SPT(16)	2512833325825257167	0 12 42 50 54 62 122 152 174 204 264 272 276 284 314 326	428860311336
STPT(10)	2512833647072039651	0 2 6 8 48 50 90 92 96 98	750107093820
STPT(10)	2512833893719643309	0 2 12 14 90 92 168 170 180 182	996754697478