Prime p₀= 2782673172795619469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 100 2 10 2 64 2 112 2 58 2 (?)
a_n: 0 2 18 20 120 122 132 134 198 200 312 314 372 374
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: 374
Found by: [SG-FC] hl
db: batch=82, k=14, 16 100 10 64 112 58

STPT(10)	2782671764850544937	0 2 30 32 42 44 54 56 84 86	-1407945074532
STPT(10)	2782671911343644399	0 2 48 50 60 62 72 74 120 122	-1261451975070
SPT(16)	2782672530336966923	0 36 78 134 168 186 200 218 276 294 308 326 360 416 458 494	-642458652546
SPT(16)	2782672547168891011	0 6 10 60 78 90 108 112 126 130 148 160 178 228 232 238	-625626728458
SPT(16)	2782672774678633117	0 4 52 54 142 144 156 184 402 430 442 444 532 534 582 586	-398116986352
SPT(16)	2782672924936628419	0 12 22 24 34 54 108 112 120 124 178 198 208 210 220 232	-247858991050
SPT(16)	2782673316277037219	0 92 102 114 170 182 200 204 218 222 240 252 308 320 330 422	143481417750
STPT(10)	2782673552016194201	0 2 30 32 78 80 126 128 156 158	379220574732
SPT(16)	2782673685611656141	0 6 18 48 186 226 238 246 250 258 270 310 448 478 490 496	512816036672
SPT(18)	2782673685800662211	0 6 20 32 42 48 56 122 132 176 186 252 260 266 276 288 302 308	513005042742
STPT(12)	2782673870534391047	0 2 12 14 42 44 60 62 90 92 102 104	697738771578