Prime p₀= 2625771211329233291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 16 2 40 2 40 2 88 2 4 2 (?)
a_n: 0 2 18 20 36 38 78 80 120 122 210 212 216 218
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: 218
Found by: [SG-FC] hl
db: batch=82, k=14, 16 16 40 40 88 4

STPT(10)	2625769803080414621	0 2 96 98 138 140 180 182 276 278	-1408248818670
TPT(14)	2625769839739204979	0 2 42 44 132 134 162 164 168 170 198 200 270 272	-1371590028312
SPT(16)	2625769860277692239	0 12 24 74 80 132 194 234 308 348 410 462 468 518 530 542	-1351051541052
SPT(16)	2625770426922505937	0 6 20 32 42 60 72 140 162 230 242 260 270 282 296 302	-784406727354
TPT(14)	2625770845778789879	0 2 18 20 78 80 102 104 228 230 240 242 258 260	-365550443412
SPT(16)	2625770853690705757	0 4 22 84 196 312 340 346 390 396 424 540 652 714 732 736	-357638527534
STPT(10)	2625771249753288389	0 2 18 20 30 32 42 44 60 62	38424055098
STPT(10)	2625771291937431731	0 2 36 38 78 80 120 122 156 158	80608198440
STPT(10)	2625771597815153927	0 2 12 14 42 44 72 74 84 86	386485920636
STPT(10)	2625771832877347211	0 2 36 38 78 80 120 122 156 158	621548113920
SPT(16)	2625771897190535833	0 18 34 46 48 70 94 126 178 210 234 256 258 270 286 304	685861302542