John Gill Commentary Mark 1:28

"And the report of him went out straightway everywhere into all the region of Galilee round about." — Mark 1:28 (ASV)

And immediately his fame spread abroad
Not only in the city of Capernaum, where these things were done, and where his fame was first spread, but also

throughout all the region round about Galilee :
and not only throughout Galilee, but throughout all the country that was bordering upon it, and adjacent to it; see (Matthew 4:23Matthew 4:25) . The Persic version reads, "through all the provinces".