Prime p₀= 1458560921866198727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 118 2 22 2 16 2 166 2 (?)
a_n: 0 2 24 26 90 92 210 212 234 236 252 254 420 422
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: eclipse99
db: batch=78, k=14, 22 64 118 22 16 166

SPT(16)	1458560493875018363	0 30 90 104 114 140 186 216 308 338 384 410 420 434 494 524	-427991180364
SPT(16)	1458560584169813309	0 12 30 38 92 98 120 138 164 182 204 210 264 272 290 302	-337696385418
SPT(16)	1458560652811427647	0 6 94 100 114 184 202 210 226 234 252 322 336 342 430 436	-269054771080
STPT(10)	1458560801638502687	0 2 30 32 72 74 114 116 144 146	-120227696040
STPT(10)	1458560828592252569	0 2 30 32 60 62 90 92 120 122	-93273946158
SPT(16)	1458560838162667873	0 34 54 78 84 148 160 168 196 204 216 280 286 310 330 364	-83703530854
STPT(10)	1458561049355940989	0 2 18 20 30 32 42 44 60 62	127489742262
STPT(10)	1458561605861062061	0 2 78 80 168 170 258 260 336 338	683994863334
SPT(16)	1458561840320256283	0 58 106 166 210 234 240 250 264 274 280 304 348 408 456 514	918454057556
SPT(16)	1458561893397057949	0 10 24 48 78 118 132 154 198 220 234 274 304 328 342 352	971530859222
SPT(16)	1458561940368931037	0 6 26 30 54 56 90 96 164 170 204 206 230 234 254 260	1018502732310