  We study a new lifting of automorphic representations using the theta
representation $\Theta$ on the $4$-fold cover of the symplectic group,
$\overline{\mathrm{Sp}}_{2r}(\mathbb{A})$. This lifting produces the first
examples of CAP representations on higher-degree metaplectic covering groups.
Central to our analysis is the identification of the maximal nilpotent orbit
associated to $\Theta$.
  We conjecture a natural extension of Arthur's parameterization of the
discrete spectrum to $\overline{\mathrm{Sp}}_{2r}(\mathbb{A})$. Assuming this,
we compute the effect of our lift on Arthur parameters and show that the
parameter of a representation in the image of the lift is non-tempered. We
conclude by relating the lifting to the dimension equation of Ginzburg to
predict the first non-trivial lift of a generic cuspidal representation of
$\overline{\mathrm{Sp}}_{2r}(\mathbb{A})$.
