Prime p₀= 2404892307526560889 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 44 4 78 14 10 6 2 6 10 14 78 4 44 4 (?)
a_n: 0 4 48 52 130 144 154 160 162 168 178 192 270 274 318 322
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: 322
Found by: Josemi
db: batch=82, k=16, 4 44 4 78 14 10 6 2

SPT(16)	2404890446034710129	0 30 38 42 132 152 158 170 210 222 228 248 338 342 350 380	-1861491850760
SPT(16)	2404890494234476307	0 26 54 72 96 134 174 176 210 212 252 290 314 332 360 386	-1813292084582
STPT(10)	2404890503244825677	0 2 54 56 72 74 90 92 144 146	-1804281735212
SPT(16)	2404890580655927153	0 6 38 60 74 80 84 116 138 170 174 180 194 216 248 254	-1726870633736
STPT(10)	2404891013437790357	0 2 30 32 42 44 54 56 84 86	-1294088770532
SPT(16)	2404892213859894359	0 18 24 38 42 60 74 90 182 198 212 230 234 248 254 272	-93666666530
STPT(10)	2404892824311463349	0 2 42 44 90 92 138 140 180 182	516784902460
STPT(10)	2404892888249460767	0 2 30 32 72 74 114 116 144 146	580722899878
SPT(16)	2404892909694929821	0 10 18 30 52 70 82 112 156 186 198 216 238 250 258 268	602168368932
SPT(16)	2404892951362383721	0 10 12 16 52 70 136 142 150 156 222 240 276 280 282 292	643835822832
SPT(16)	2404893116725068127	0 30 34 42 46 54 82 90 166 174 202 210 214 222 226 256	809198507238