Prime p₀= 1425023085847729139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 34 2 88 2 10 2 (?)
a_n: 0 2 30 32 48 50 132 134 168 170 258 260 270 272
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: Dirk Broer
db: batch=78, k=14, 28 16 82 34 88 10

STPT(10)	1425021210412836107	0 2 30 32 42 44 54 56 84 86	-1875434893032
STPT(10)	1425021284052555821	0 2 30 32 78 80 126 128 156 158	-1801795173318
STPT(10)	1425021333870365909	0 2 18 20 30 32 42 44 60 62	-1751977363230
SPT(16)	1425021409468410343	0 6 66 76 78 108 184 234 280 330 406 436 438 448 508 514	-1676379318796
SPT(16)	1425021434056797323	0 14 24 90 96 186 194 204 290 300 308 398 404 470 480 494	-1651790931816
STPT(10)	1425021999242423297	0 2 60 62 72 74 84 86 144 146	-1086605305842
STPT(10)	1425023206570607459	0 2 12 14 30 32 48 50 60 62	120722878320
STPT(10)	1425023378326949369	0 2 12 14 90 92 168 170 180 182	292479220230
STPT(10)	1425023441295630689	0 2 42 44 60 62 78 80 120 122	355447901550
SPT(16)	1425023486670760987	0 6 22 40 82 142 174 192 334 352 384 444 486 504 520 526	400823031848
SPT(16)	1425023489625428227	0 52 64 82 90 94 126 156 160 190 222 226 234 252 264 316	403777699088