Lilypond double clef

Does anyone know, how to put the soprano and the alto clef right before the treble clefs, just like in the image below?

I've been trying to figure out a way to solve this, for some time now, but the only thing I was able to come up was \clef soprano \clef treble but if you do this the soprano clef simply won't show.

If you could write me a code that reproduces the image above it would be really nice.

I think this could work but honestly I don't know how to remove the incipit time signature.

\score {
  \new StaffGroup <<
    \new Staff {
      \set Staff.instrumentName = ""
      \incipit { \clef soprano s16  }
      {  \clef "treble"  b'2 cis''2 d''1 }
    }
    \new Staff {
      \set Staff.instrumentName = ""
      \incipit { \clef alto s16 } 
      { \clef "treble" e'1 d' }
    }
  >>
}
\layout {
  incipit-width = 1.2\cm 
  \context { \Staff \remove "Time_signature_engraver" }
}