I would do the same as gill blue suggests but add some poret every 6inch of matrix or so like a baffle wall.
I believe you would get better contact time this way. adding some restriction to the passing water in the 18" wide space forcing it to spread among the matrix greater. It will also add a bit more mech filtration to the setup. You wont need that area filled tight with just matrix anyways, it will still be perfectly capable to handle the bio load of a heavy stocked tank that size if some matrix is taken out of the area.