Prime p₀= 1958628214815763721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 4 2 28 2 82 2 46 2 (?)
a_n: 0 2 18 20 60 62 66 68 96 98 180 182 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 16 40 4 28 82 46

SPT(16)	1958626809722759629	0 4 12 18 40 180 228 250 252 274 322 462 484 490 498 502	-1405093004092
STPT(10)	1958627101688118707	0 2 24 26 42 44 60 62 84 86	-1113127645014
SPT(16)	1958627627205310027	0 10 46 66 114 136 156 172 204 220 240 262 310 330 366 376	-587610453694
STPT(10)	1958627904741974021	0 2 6 8 48 50 90 92 96 98	-310073789700
SPT(16)	1958628126765535889	0 48 72 140 152 170 180 188 192 200 210 228 240 308 332 380	-88050227832
SPT(16)	1958628167876814743	0 38 44 74 96 156 170 194 210 234 248 308 330 360 366 404	-46938948978
STPT(10)	1958628539743498877	0 2 42 44 72 74 102 104 144 146	324927735156
SPT(16)	1958628602168502643	0 16 46 60 66 88 106 108 148 150 168 190 196 210 240 256	387352738922
SPT(16)	1958629099532553397	0 24 34 52 66 94 96 102 154 160 162 190 204 222 232 256	884716789676
SPT(16)	1958629160011929151	0 6 36 82 132 190 192 220 288 316 318 376 426 472 502 508	945196165430
TPT(14)	1958629257717749789	0 2 12 14 132 134 228 230 252 254 300 302 390 392	1042901986068