Prime p₀= 2577386345329911317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 40 2 64 2 88 2 22 2 (?)
a_n: 0 2 42 44 72 74 114 116 180 182 270 272 294 296
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: 296
Found by: JayPi
db: batch=82, k=14, 40 28 40 64 88 22

SPT(16)	2577385226280463309	0 58 72 90 120 162 168 190 222 244 250 292 322 340 354 412	-1119049448008
STPT(10)	2577385404094860839	0 2 18 20 30 32 42 44 60 62	-941235050478
TPT(14)	2577385654302990719	0 2 12 14 42 44 102 104 222 224 270 272 282 284	-691026920598
SPT(16)	2577385686750330611	0 50 68 78 96 102 116 156 332 372 386 392 410 420 438 488	-658579580706
STPT(10)	2577385691767923857	0 2 60 62 72 74 84 86 144 146	-653561987460
TPT(14)	2577386029137259451	0 2 18 20 60 62 66 68 138 140 150 152 156 158	-316192651866
STPT(10)	2577387001392498809	0 2 48 50 90 92 132 134 180 182	656062587492
TPT(14)	2577387537387403619	0 2 30 32 60 62 90 92 132 134 168 170 222 224	1192057492302
STPT(10)	2577387592817995421	0 2 36 38 78 80 120 122 156 158	1247488084104
STPT(10)	2577388097840844887	0 2 30 32 42 44 54 56 84 86	1752510933570
SPT(16)	2577388141562799517	0 30 36 40 52 96 150 166 306 322 376 420 432 436 442 472	1796232888200