Prime p₀= 2545708179262988147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 88 2 4 2 58 2 10 2 (?)
a_n: 0 2 42 44 114 116 204 206 210 212 270 272 282 284
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: 284
Found by: Jeff17
db: batch=82, k=14, 40 70 88 4 58 10

SPT(16)	2545705715272280021	0 80 90 108 158 236 312 318 350 356 432 510 560 578 588 668	-2463990708126
SPT(16)	2545706643296927707	0 10 84 94 130 132 136 142 204 210 214 216 252 262 336 346	-1535966060440
STPT(10)	2545706741988120131	0 2 36 38 78 80 120 122 156 158	-1437274868016
SPT(16)	2545706947494616319	0 12 18 38 60 84 102 168 194 260 278 302 324 344 350 362	-1231768371828
SPT(16)	2545707739975778453	0 14 36 38 50 74 104 108 176 180 210 234 246 248 270 284	-439287209694
SPT(16)	2545707948322458341	0 2 6 36 50 102 108 122 126 140 146 198 212 242 246 248	-230940529806
STPT(10)	2545708501284143717	0 2 30 32 42 44 54 56 84 86	322021155570
STPT(10)	2545709210412459989	0 2 18 20 60 62 102 104 120 122	1031149471842
SPT(16)	2545709423223468031	0 40 46 48 96 132 160 166 222 228 256 292 340 342 348 388	1243960479884
SPT(16)	2545709429891444093	0 44 78 98 104 110 138 146 288 296 324 330 336 356 390 434	1250628455946
SPT(16)	2545709839267773221	0 8 26 72 86 116 156 158 180 182 222 252 266 312 330 338	1660004785074