  We construct static solutions to a SU(2) Yang--Mills (YM) dilaton model in
4+1 dimensions subject to bi-azimuthal symmetry. The YM sector of the model
consists of the usual YM term and the next higher order term of the YM
hierarchy, which is required by the scaling condition for the existence of
finite energy solutions. The basic features of two different types of
configurations are studied, corresponding to (multi)solitons with topological
charge $n^2$, and soliton--antisoliton pairs with zero topological charge.
