  We present an interacting spin-2 gauge theory coupled to the two-dimensional
dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to
the central extension of Diff$(S^1)\ltimes C^\infty(S^1)\ltimes$Vec($S^1$) when
the central element of the Heisenberg subgroup is zero (vanishing $U(1)$
level). Using the BF-formulation of the model we derive the corresponding
boundary coadjoint action which is the spin-2 extension of the warped
Schwarzian theory at vanishing $U(1)$ level. We also discuss the thermodynamics
of black holes in this model.
