Prime p₀= 2567333721021351757 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 10 32 10 6 42 32 64 32 42 6 10 32 10 24 (?)
a_n: 0 24 34 66 76 82 124 156 220 252 294 300 310 342 352 376
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 376
Found by: SEARCHER
db: batch=82, k=16, 24 10 32 10 6 42 32 64

SPT(16)	2567332343267609761	0 30 48 60 78 100 142 156 172 186 228 250 268 280 298 328	-1377753741996
SPT(16)	2567332929933771763	0 18 60 64 154 190 208 228 400 420 438 474 564 568 610 628	-791087579994
STPT(10)	2567333035527817547	0 2 42 44 72 74 102 104 144 146	-685493534210
SPT(16)	2567333423158872223	0 30 36 64 70 78 136 154 240 258 316 324 330 358 364 394	-297862479534
SPT(16)	2567333537423768177	0 26 50 60 72 84 96 114 122 140 152 164 176 186 210 236	-183597583580
SPT(18)	2567333677728052001	0 6 20 32 42 60 66 146 150 182 186 266 272 290 300 312 326 332	-43293299756
SPT(16)	2567333862805792711	0 30 66 82 138 142 148 208 210 270 276 280 336 352 388 418	141784440954
TPT(14)	2567333980802682941	0 2 78 80 90 92 126 128 210 212 246 248 300 302	259781331184
STPT(10)	2567334028107381719	0 2 42 44 90 92 138 140 180 182	307086029962
STPT(10)	2567334666074195999	0 2 18 20 60 62 102 104 120 122	945052844242
SPT(16)	2567334680231163421	0 46 78 102 120 130 132 148 150 166 168 178 196 220 252 298	959209811664