Prime p₀= 2993363984842568717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 28 2 10 2 40 2 (?)
a_n: 0 2 30 32 42 44 90 92 120 122 132 134 174 176
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: 176
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 28 10 46 28 10 40

SPT(18)	2993361192020996843	0 44 96 120 126 134 138 146 156 278 288 296 300 308 314 338 390 434	-2792821571874
SPT(16)	2993361852815961061	0 22 42 52 100 120 168 198 262 292 340 360 408 418 438 460	-2132026607656
STPT(10)	2993362110661892819	0 2 12 14 90 92 168 170 180 182	-1874180675898
SPT(16)	2993362156096905127	0 22 42 52 64 82 120 150 166 196 234 252 264 274 294 316	-1828745663590
SPT(16)	2993362602795642977	0 12 14 42 74 96 116 176 180 240 260 282 314 342 344 356	-1382046925740
TPT(14)	2993363054986052057	0 2 24 26 114 116 150 152 204 206 210 212 264 266	-929856516660
STPT(10)	2993364129889551239	0 2 48 50 90 92 132 134 180 182	145046982522
SPT(16)	2993364198126021469	0 12 18 58 78 120 138 144 148 154 172 214 234 274 280 292	213283452752
SPT(16)	2993364380230816771	0 18 48 60 72 102 132 148 222 238 268 298 310 322 352 370	395388248054
STPT(10)	2993364750997816691	0 2 108 110 138 140 168 170 276 278	766155247974
SPT(16)	2993365834773882179	0 8 68 72 98 108 110 120 140 150 152 162 188 192 252 260	1849931313462