  We consider a family of schemes, that are defined by minors of a homogeneous
symmetric matrix with polynomial entries. We assume that they have maximal
possible codimension, given the size of the matrix and of the minors that
define them. We show that these schemes are G-bilinked to a linear variety of
the same dimension. In particular, they can be obtained from a linear variety
by a finite sequence of ascending G-biliaisons on some determinantal schemes.
In particular, it follows that these schemes are glicci. We describe the
biliaisons explicitely in the proof of the main theorem.
