We present an experimental and theoretical characterization of the symmetric four-qubit entangled Dicke state with two excitations D⁽²⁾₄. We investigate the state's violation of local realism and study its characteristic properties with respect to quantum information applications. For the experimental observation of the state we used photons obtained from parametric down conversion. This allowed, in a simple experimental set-up, quantum state tomography yielding a fidelity as high as 0.844 ± 0.008.