Prime p₀= 863341579354598009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 64 2 52 2 46 2 70 2 (?)
a_n: 0 2 30 32 42 44 108 110 162 164 210 212 282 284
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: 284
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 28 10 64 52 46 70

SPT(16)	863340211016071409	0 38 60 102 140 188 200 218 234 252 264 312 350 392 414 452	-1368338526600
SPT(16)	863340497269494919	0 12 42 58 72 82 114 142 180 208 240 250 264 280 310 322	-1082085103090
STPT(10)	863340730977622169	0 2 18 20 30 32 42 44 60 62	-848376975840
SPT(16)	863340944720278039	0 4 22 64 82 94 124 130 162 168 198 210 228 270 288 292	-634634319970
SPT(16)	863341086622804409	0 12 60 102 170 174 180 188 294 302 308 312 380 422 470 482	-492731793600
SPT(16)	863341110046599059	0 2 44 50 72 98 110 140 192 222 234 260 282 288 330 332	-469307998950
STPT(10)	863341873012203161	0 2 90 92 150 152 210 212 300 302	293657605152
SPT(16)	863341930895118523	0 58 60 148 154 268 276 304 330 358 366 480 486 574 576 634	351540520514
SPT(16)	863341972373311853	0 8 14 44 50 78 108 114 134 140 170 198 204 234 240 248	393018713844
SPT(16)	863342399483130247	0 6 22 42 66 76 90 102 160 172 186 196 220 240 256 262	820128532238
SPT(16)	863342582466908149	0 34 40 90 102 144 180 198 214 232 268 310 322 372 378 412	1003112310140