Prime p₀= 810998805115730837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 64 2 10 2 40 2 4 2 28 2 (?)
a_n: 0 2 144 146 210 212 222 224 264 266 270 272 300 302
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: 302
Found by: fzs600
db: batch=73, k=14, 142 64 10 40 4 28

STPT(10)	810997423668333257	0 2 30 32 72 74 114 116 144 146	-1381447397580
STPT(10)	810997647572758979	0 2 12 14 90 92 168 170 180 182	-1157542971858
SPT(16)	810997802736758303	0 50 90 116 150 174 186 234 266 314 326 350 384 410 450 500	-1002378972534
SPT(16)	810997897972533043	0 6 28 48 100 108 178 180 196 198 268 276 328 348 370 376	-907143197794
SPT(16)	810997992470246929	0 52 64 78 130 148 162 168 214 220 234 252 304 318 330 382	-812645483908
SPT(18)	810998701074066629	0 20 38 42 102 120 122 144 194 258 308 330 332 350 410 414 432 452	-104041664208
SPT(16)	810998853333070471	0 10 16 28 108 132 166 208 210 252 286 310 390 402 408 418	48217339634
SPT(16)	810999081968283863	0 14 18 36 74 90 114 158 186 230 254 270 308 326 330 344	276852553026
SPT(20)	810999089777573927	0 14 26 74 104 116 132 140 146 240 266 360 366 374 390 402 432 480 492 506	284661843090
SPT(16)	810999250151363719	0 24 28 34 70 90 138 144 154 160 208 228 264 270 274 298	445035632882
SPT(16)	810999435567834637	0 66 130 144 154 166 174 186 244 256 264 276 286 300 364 430	630452103800