Prime p₀= 2743483948004333627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 34 2 10 2 10 2 16 2 (?)
a_n: 0 2 30 32 84 86 120 122 132 134 144 146 162 164
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: 164
Found by: JonS
db: batch=82, k=14, 28 52 34 10 10 16

STPT(10)	2743482574814024777	0 2 30 32 42 44 54 56 84 86	-1373190308850
SPT(16)	2743482749962985699	0 14 50 92 138 140 170 182 240 252 282 284 330 372 408 422	-1198041347928
SPT(16)	2743482803041459321	0 78 82 100 120 142 150 166 192 208 216 238 258 276 280 358	-1144962874306
STPT(10)	2743482944098700849	0 2 42 44 90 92 138 140 180 182	-1003905632778
STPT(10)	2743483112445877721	0 2 78 80 108 110 138 140 216 218	-835558455906
STPT(10)	2743483855657393391	0 2 6 8 48 50 90 92 96 98	-92346940236
SPT(16)	2743484723982465949	0 10 28 52 72 78 82 100 132 150 154 160 180 204 222 232	775978132322
STPT(10)	2743485056029018529	0 2 48 50 90 92 132 134 180 182	1108024684902
STPT(10)	2743485176383734227	0 2 30 32 42 44 54 56 84 86	1228379400600
STPT(10)	2743485723338777111	0 2 30 32 78 80 126 128 156 158	1775334443484
STPT(10)	2743485834267480059	0 2 18 20 30 32 42 44 60 62	1886263146432