We present the application of a short rise ($\ensuremath{\sim}150\text{ }\text{ }\mathrm{ns}$) 250 kA linear transformer driver (LTD) to wire array $z$-pinch loads for the first time. The generator is a modification of a previous driver in which a new conical power feed provides a low inductance coupling to wire loads. Performance of the new design using both short circuit and plasma loads is presented and discussed. The final design delivers $\ensuremath{\sim}200\text{ }\text{ }\mathrm{kA}$ to a wire array load which is in good agreement with SCREAMER calculations using a simplified representative circuit. Example results demonstrate successful experiments using cylindrical, conical, and inverse wire arrays as well as previously published work on $x$-pinch loads.