The surrounding regions
καὶ ἐξῆλθεν ἡ ἀκοὴ αὐτοῦ εὐθὺς πανταχοῦ εἰς ὅλην τὴν περίχωρον τῆς Γαλιλαίας.
This is very similar, to Luke, chapter 4:37. Mark said that at once, the news reports or rumors about Jesus or his fame spread (καὶ ἐξῆλθεν ἡ ἀκοὴ αὐτοῦ εὐθὺς) everywhere throughout all the surrounding regions or neighboring areas of Galilee (πανταχοῦ εἰς ὅλην τὴν περίχωρον τῆς Γαλιλαίας). Suddenly, Jesus was famous, a celebrity In Galilee.