  A 6th-order, but ghost-free, gauge-invariant action is found for a 4th-rank
symmetric tensor potential in a three-dimensional (3D) Minkowski spacetime. It
propagates two massive modes of spin 4 that are interchanged by parity, and is
thus a spin-4 analog of linearized "new massive gravity". Also found are
ghost-free spin-4 analogs of linearized "topologically massive gravity" and
"new topologically massive gravity", of 5th- and 8th-order respectively.
