What piece (violin concerto?) is this?

I heard a piece earlier today while eating lunch that I'd like to know a bit more about. What I know: The piece is either a violin concerto or has a prominent solo violin part. To the best of my knowledge it's classical instead of a soundtrack (the rest of the music playing at the cafe sounded like a "best of classical" CD). The main theme of the excerpt I heard went roughly

E E DCEGD ED E F F EDFAE FE,

where the C is the lowest note, all other notes are in the octave above that C, and the spacing corresponds roughly to the length of the notes (so 2 long notes, a group of 5, etc.). I don't have a video or recording or anything like that. Sorry!