  We perturbatively construct asymptotically
$\mathbb{R}^{1,3}\times\mathbb{T}^2$ black branes with multiple inhomogeneous
directions and show that some of them are thermodynamically preferred over
uniform branes in both the microcanonical and canonical ensembles. This
demonstrates that, unlike five-dimensional black strings, the instability of
some unstable black branes has a plausible endpoint that does not require a
violation of cosmic censorship.
