Prime p₀= 2145333675163730741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 46 2 130 2 76 2 (?)
a_n: 0 2 6 8 30 32 48 50 96 98 228 230 306 308
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: 308
Found by: Landjunge
db: batch=80, k=14, 4 22 16 46 130 76

TPT(14)	2145331684252915967	0 2 12 14 30 32 72 74 84 86 174 176 210 212	-1990910814774
SPT(16)	2145332084155135133	0 14 20 24 60 90 104 114 140 150 164 194 230 234 240 254	-1591008595608
SPT(16)	2145332524125949981	0 30 72 88 130 142 148 232 246 330 336 348 390 406 448 478	-1151037780760
SPT(16)	2145332583964247263	0 4 88 186 190 196 204 234 340 370 378 384 388 486 570 574	-1091199483478
SPT(16)	2145332837371413401	0 26 32 66 162 192 216 222 230 236 260 290 386 420 426 452	-837792317340
SPT(16)	2145332982745243771	0 12 18 42 72 88 126 138 160 172 210 226 256 280 286 298	-692418486970
STPT(10)	2145334290823042259	0 2 48 50 90 92 132 134 180 182	615659311518
SPT(16)	2145334895091979753	0 10 16 28 136 186 198 204 220 226 238 288 396 408 414 424	1219928249012
SPT(16)	2145334969033716289	0 4 12 30 34 58 84 90 112 118 144 168 172 190 198 202	1293869985548
STPT(10)	2145334994703701399	0 2 18 20 30 32 42 44 60 62	1319539970658
SPT(16)	2145335113183110001	0 6 30 40 76 82 126 132 136 142 186 192 228 238 262 268	1438019379260