Prime p₀= 2145175691424778679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 46 2 40 2 40 2 106 2 (?)
a_n: 0 2 18 20 30 32 78 80 120 122 162 164 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 16 10 46 40 40 106

SPT(16)	2145174293490381619	0 30 64 90 120 124 144 160 294 310 330 334 364 390 424 454	-1397934397060
STPT(10)	2145174298962690551	0 2 6 8 48 50 90 92 96 98	-1392462088128
STPT(10)	2145174473954185241	0 2 78 80 138 140 198 200 276 278	-1217470593438
SPT(16)	2145175095920504591	0 12 60 72 110 116 138 140 168 170 192 198 236 248 296 308	-595504274088
SPT(16)	2145175099386181829	0 30 42 54 68 72 110 134 198 222 260 264 278 290 302 332	-592038596850
SPT(16)	2145175310620450487	0 30 54 80 114 156 162 222 434 494 500 542 576 602 626 656	-380804328192
STPT(10)	2145175911492505259	0 2 18 20 30 32 42 44 60 62	220067726580
STPT(10)	2145176554899521189	0 2 12 14 90 92 168 170 180 182	863474742510
SPT(16)	2145176619061367477	0 20 50 56 62 84 144 152 174 182 242 264 270 276 306 326	927636588798
STPT(10)	2145176767893320219	0 2 42 44 60 62 78 80 120 122	1076468541540
TPT(14)	2145176806956810281	0 2 90 92 96 98 156 158 186 188 198 200 336 338	1115532031602