\version "2.18.2"

\paper {
  tagline = ##f
}

up = \change Staff = "up"
down = \change Staff = "down"

\score {
  <<
    \new Staff {
      \relative c' {
        c16[ c c c c c c c]
      }
    }
    \new PianoStaff <<
      \new Staff = "up" {
        \time 2/4
        s2
      }
      \new Staff = "down" {
        \clef bass
        \override Beam.auto-knee-gap = 1
        c16[
        \up
        c''
        g'''
        \down
        c
        \up
        c''
        \down
        c c
        \up
        c'']
      }   
    >>
  >>
  \layout {
    \context {
      \Score
      proportionalNotationDuration = #(ly:make-moment 1/16)
      \override SpacingSpanner.uniform-stretching = ##t
    }
  }
}