The 28, 29, 30, and 31 mer hexakaidecahedral water clusters were studied by applying the intermediate neglect of differential overlap self-consistent field restricted Hartree-Fock method (INDO SCF RHF) after parametrization for H and O atoms. The most stable 29 and 30 mer clusters have one and two water molecules, respectively within the cavity of the distorted hexakaidecahedral cage with stabilization energy/monomer values of around 10.9 and 11.0 kcal, respectively. The 31 mer cluster with three water molecules within the cavity is less stable than the isomer with two molecules within the cavity and the third one bonded outside of the cage by around 3 kcal/mol.