  Pellarin introduced the deformation of multiple zeta values of Thakur as
elements over Tate algebras. In this paper, we relate these values to a certain
coordinate of a higher dimensional Drinfeld module over Tate algebras which we
will introduce. Moreover, we define multiple polylogarithms in our setting and
represent deformation of multiple zeta values as a linear combination of
multiple polylogarithms.
