Prime p₀= 2080393305315755369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 16 2 22 2 28 2 28 2 (?)
a_n: 0 2 18 20 60 62 78 80 102 104 132 134 162 164
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: 164
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 16 40 16 22 28 28

SPT(16)	2080392297485336551	0 16 22 30 58 178 190 276 292 378 390 510 538 546 552 568	-1007830418818
SPT(16)	2080392465894065327	0 26 54 56 96 114 120 140 156 176 182 200 240 242 270 296	-839421690042
SPT(16)	2080392574801168469	0 72 92 128 168 204 228 242 270 284 308 344 384 420 440 512	-730514586900
SPT(16)	2080392634743742373	0 54 84 110 134 140 174 200 288 314 348 354 378 404 434 488	-670572012996
STPT(10)	2080392680918010647	0 2 24 26 42 44 60 62 84 86	-624397744722
SPT(16)	2080393061191992949	0 52 64 90 94 100 108 112 120 124 132 138 142 168 180 232	-244123762420
SPT(16)	2080393385332225319	0 14 20 74 98 102 122 234 248 360 380 384 408 462 468 482	80016469950
STPT(10)	2080393417199422847	0 2 30 32 42 44 54 56 84 86	111883667478
SPT(16)	2080394165653564037	0 12 26 36 56 62 96 176 216 296 330 336 356 366 380 392	860337808668
SPT(16)	2080395477340326127	0 22 94 100 126 132 172 220 336 384 424 430 456 462 534 556	2172024570758
SPT(16)	2080396202673257401	0 48 76 88 136 168 196 210 238 252 280 312 360 372 400 448	2897357502032