  We generalize a finite parity-time (${\cal PT}$-) symmetric network of the
discrete nonlinear Schr\"odinger type and obtain general results on linear
stability of the zero equilibrium, on the nonlinear dynamics of the dimer
model, as well as on the existence and stability of large-amplitude stationary
nonlinear modes. A result of particular importance and novelty is the
classification of all possible stationary modes in the limit of large
amplitudes. We also discover a new integrable configuration of a ${\cal
PT}$-symmetric dimer.
