Prime p₀= 2993875700688198257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 10 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 180 182 192 194 282 284 372 374 414 416
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: 416
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 40 136 10 88 88 40

SPT(16)	2993871557711725289	0 48 98 140 188 198 200 222 230 252 254 264 312 354 404 452	-4142976472968
SPT(16)	2993872349125596139	0 18 28 40 48 60 70 82 210 222 232 244 252 264 274 292	-3351562602118
SPT(16)	2993872846902698429	0 54 104 110 114 120 152 224 258 330 362 368 372 378 428 482	-2853785499828
SPT(16)	2993874311601563959	0 18 64 70 90 150 154 210 238 294 298 358 378 384 430 448	-1389086634298
SPT(16)	2993874832909690771	0 46 70 82 90 108 112 118 150 156 160 178 186 198 222 268	-867778507486
SPT(16)	2993875551161112491	0 26 30 66 180 198 230 272 276 318 350 368 482 518 522 548	-149527085766
SPT(16)	2993876098564311691	0 52 70 96 100 136 142 220 222 300 306 342 346 372 390 442	397876113434
SPT(16)	2993876155749614579	0 14 54 72 78 104 132 134 168 170 198 224 230 248 288 302	455061416322
STPT(10)	2993876230516774649	0 2 12 14 90 92 168 170 180 182	529828576392
SPT(16)	2993877077420851331	0 6 20 50 62 72 92 120 218 246 266 276 288 318 332 338	1376732653074
SPT(16)	2993877331035640277	0 26 30 44 60 74 90 104 126 140 156 170 186 200 204 230	1630347442020