Prime p₀= 2568439578457226303 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 38 6 66 30 28 2 64 2 28 30 66 6 38 30 (?)
a_n: 0 30 68 74 140 170 198 200 264 266 294 324 390 396 434 464
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: 464
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 30 38 6 66 30 28 2 64

SPT(16)	2568438249623632657	0 6 22 24 40 60 94 126 130 162 196 216 232 234 250 256	-1328833593646
SPT(16)	2568438468527860937	0 12 24 26 42 92 120 206 210 296 324 374 390 392 404 416	-1109929365366
SPT(16)	2568438475262556571	0 6 12 16 42 72 126 132 160 166 220 250 276 280 286 292	-1103194669732
SPT(16)	2568439436028391199	0 18 32 80 92 114 138 140 222 224 248 270 282 330 344 362	-142428835104
STPT(10)	2568439484373359369	0 2 48 50 90 92 132 134 180 182	-94083866934
SPT(13)	2568439495659698251	0 6 30 42 96 120 126 132 156 210 222 246 252	-82797528052
STPT(10)	2568439858867877567	0 2 24 26 42 44 60 62 84 86	280410651264
SPT(16)	2568439976254463959	0 18 118 120 168 172 174 204 208 238 240 244 292 294 394 412	397797237656
SPT(16)	2568440230173840667	0 24 66 84 112 124 130 144 172 186 192 204 232 250 292 316	651716614364
STPT(10)	2568440350804182269	0 2 18 20 30 32 42 44 60 62	772346955966
SPT(16)	2568440360793911497	0 24 34 36 46 60 82 106 150 174 196 210 220 222 232 256	782336685194