Prime p₀= 824991628425389021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 18 20 48 50 78 80 156 158 186 188 216 218
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: 218
Found by: Jeff17
db: batch=73, k=14, 16 28 28 76 28 28

SPT(16)	824990382843397877	0 44 56 140 176 236 240 264 392 416 420 480 516 600 612 656	-1245581991144
STPT(10)	824990790768649199	0 2 30 32 60 62 90 92 120 122	-837656739822
STPT(10)	824990914259678861	0 2 30 32 78 80 126 128 156 158	-714165710160
SPT(16)	824990923243607179	0 22 30 42 52 72 108 132 220 244 280 300 310 322 330 352	-705181781842
SPT(13)	824991150973819787	0 6 24 60 90 144 150 156 210 240 276 294 300	-477451569234
SPT(16)	824991208286649251	0 18 30 102 108 110 116 126 152 162 168 170 176 248 260 278	-420138739770
STPT(12)	824991628425389039	0 2 30 32 60 62 138 140 168 170 198 200	18
SPT(16)	824991655813313671	0 40 42 72 78 102 130 132 196 198 226 250 256 286 288 328	27387924650
STPT(10)	824991726026273261	0 2 30 32 78 80 126 128 156 158	97600884240
STPT(10)	824992307204570777	0 2 30 32 42 44 54 56 84 86	678779181756
STPT(10)	824992526883146537	0 2 24 26 42 44 60 62 84 86	898457757516