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In this paper a new class of Sperner’s affine generalized spaces is constructed from desarguesian affine spaces of dimension 3 and order $q^2$ ($q$ prime odd > 3 power); these spaces have the property of containing $q^3+q^2+q$ Hughes planes. The procedure I have used can easily be applied to a similar affine desarguesian space of any (finite) dimension; in case of dimension 2 we find the (regular) Hughes plane of order $q^2$.