We consider higher derivative dual formulation for the massless spin two theory in terms of third rank tensor with hook Young diagram. We demonstrate that all the dual formulations for the spin two theory can be derived from a single Stueckelberg action by the appropriate choice of gauge-fixing conditions. One of the admissible gauges reproduces linearized Einstein gravity in terms of symmetric second rank tensors. Another gauge leads to third-order equations for the third rank tensor with hook type symmetry. Similar dual formulations are expected to be constructed for fields of various spin using the general procedure for including Stueckelberg fields with reducible gauge symmetry.