How to spread a mono-system score over the page

[hector]

Hi friends.

I have an orchestral score with 17 staves (15 instruments plus singing  
and lyrics) in 4 groups. Of course, given the number of staves, only  
one system fits on each page.

I want to avoid having "short" pages. They show up when the height of  
the 17 staves happens to be small (e.g., when notes tend to keep in  
between the 5 lines of each staff, or on pages with little or no marks  
over or under the staves).

Is there a way to tell Lilypond to "stretch" each system, increasing  
the distance between staves when necessary, in order to fill the page?

Thanks in advance,

Héctor