Prime p₀= 2425452352163432819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 46 2 88 2 40 2 16 2 (?)
a_n: 0 2 78 80 120 122 168 170 258 260 300 302 318 320
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: Orange Kid
db: batch=82, k=14, 76 40 46 88 40 16

SPT(16)	2425451071234107151	0 30 36 58 70 126 132 160 198 226 232 288 300 322 328 358	-1280929325668
TPT(14)	2425451685852290897	0 2 72 74 84 86 90 92 174 176 324 326 390 392	-666311141922
SPT(16)	2425451701321058957	0 26 56 140 150 176 240 264 266 290 354 380 390 474 504 530	-650842373862
SPT(16)	2425452033188893333	0 4 10 30 88 94 100 106 108 114 120 126 184 204 210 214	-318974539486
SPT(16)	2425452198662027131	0 36 48 76 78 106 120 148 210 238 252 280 282 310 322 358	-153501405688
SPT(16)	2425452297539062537	0 4 12 84 114 130 166 184 282 300 336 352 382 454 462 466	-54624370282
STPT(10)	2425452437445596717	0 2 54 56 72 74 90 92 144 146	85282163898
SPT(16)	2425452552206519449	0 12 70 78 144 162 168 174 208 214 220 238 304 312 370 382	200043086630
TPT(14)	2425452683915521031	0 2 36 38 48 50 78 80 90 92 270 272 378 380	331752088212
STPT(10)	2425452853678327349	0 2 30 32 60 62 90 92 120 122	501514894530
SPT(16)	2425452942674698019	0 42 74 108 110 122 144 200 222 278 300 312 314 348 380 422	590511265200