Prime p₀= 2993363054986052057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 34 2 52 2 4 2 52 2 (?)
a_n: 0 2 24 26 114 116 150 152 204 206 210 212 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 22 88 34 52 4 52

STPT(10)	2993361045284186567	0 2 42 44 72 74 102 104 144 146	-2009701865490
SPT(18)	2993361192020996843	0 44 96 120 126 134 138 146 156 278 288 296 300 308 314 338 390 434	-1862965055214
SPT(16)	2993361852815961061	0 22 42 52 100 120 168 198 262 292 340 360 408 418 438 460	-1202170090996
STPT(10)	2993362110661892819	0 2 12 14 90 92 168 170 180 182	-944324159238
SPT(16)	2993362156096905127	0 22 42 52 64 82 120 150 166 196 234 252 264 274 294 316	-898889146930
SPT(16)	2993362602795642977	0 12 14 42 74 96 116 176 180 240 260 282 314 342 344 356	-452190409080
TPT(14)	2993363984842568717	0 2 30 32 42 44 90 92 120 122 132 134 174 176	929856516660
STPT(10)	2993364129889551239	0 2 48 50 90 92 132 134 180 182	1074903499182
SPT(16)	2993364198126021469	0 12 18 58 78 120 138 144 148 154 172 214 234 274 280 292	1143139969412
SPT(16)	2993364380230816771	0 18 48 60 72 102 132 148 222 238 268 298 310 322 352 370	1325244764714
STPT(10)	2993364750997816691	0 2 108 110 138 140 168 170 276 278	1696011764634