Prime p₀= 2592682081496259479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 94 2 40 2 28 2 208 2 (?)
a_n: 0 2 18 20 42 44 138 140 180 182 210 212 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 16 22 94 40 28 208

SPT(16)	2592680421326838197	0 6 14 20 90 102 104 134 192 222 224 236 306 312 320 326	-1660169421282
SPT(18)	2592681632716565021	0 2 62 90 150 192 212 218 228 230 240 246 266 308 368 396 456 458	-448779694458
STPT(10)	2592681761556395651	0 2 6 8 18 20 30 32 36 38	-319939863828
SPT(16)	2592681859506621329	0 12 14 98 170 182 212 222 230 240 270 282 354 438 440 452	-221989638150
STPT(10)	2592681971306786699	0 2 18 20 30 32 42 44 60 62	-110189472780
SPT(16)	2592682064357746187	0 32 50 56 60 66 80 92 144 156 170 176 180 186 204 236	-17138513292
SPT(16)	2592682306158747079	0 28 72 84 114 132 144 180 202 238 250 268 298 310 354 382	224662487600
SPT(16)	2592682621337783617	0 34 40 54 126 136 154 166 264 276 294 304 376 390 396 430	539841524138
SPT(16)	2592682729515373939	0 22 120 132 148 160 162 168 244 250 252 264 280 292 390 412	648019114460
STPT(10)	2592682772212493687	0 2 24 26 42 44 60 62 84 86	690716234208
SPT(16)	2592682958865757519	0 4 12 34 60 72 82 84 88 90 100 112 138 160 168 172	877369498040