Prime p₀= 778253248141020809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 28 2 40 2 4 2 58 2 (?)
a_n: 0 2 42 44 180 182 210 212 252 254 258 260 318 320
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: 320
Found by: jozef j
db: batch=73, k=14, 40 136 28 40 4 58

SPT(16)	778251834743641579	0 34 60 90 142 144 192 198 214 220 268 270 322 352 378 412	-1413397379230
SPT(16)	778251851801281489	0 42 58 102 112 190 192 202 228 238 240 318 328 372 388 430	-1396339739320
STPT(10)	778252127834801507	0 2 24 26 42 44 60 62 84 86	-1120306219302
SPT(18)	778252193557148017	0 12 22 24 60 102 154 180 184 192 196 222 274 316 352 354 364 376	-1054583872792
SPT(16)	778252396622545127	0 2 26 54 90 114 140 152 294 306 332 356 392 420 444 446	-851518475682
STPT(10)	778252648429605989	0 2 12 14 90 92 168 170 180 182	-599711414820
SPT(16)	778253302947680137	0 34 42 84 132 160 166 186 190 210 216 244 292 334 342 376	54806659328
SPT(16)	778253406880769641	0 6 42 48 82 100 120 148 210 238 258 276 310 316 352 358	158739748832
SPT(16)	778253458372268161	0 10 48 70 90 148 150 162 196 208 210 268 288 310 348 358	210231247352
SPT(16)	778253468081110247	0 6 20 30 72 84 90 92 114 116 122 134 176 186 200 206	219940089438
STPT(10)	778253901447027359	0 2 48 50 90 92 132 134 180 182	653306006550