A new family of equilibrium configurations for galactic halos is introduced, taking into account the possibility to identify strange particles conglomerates with masses larger than 8 GeV as components of the dark matter. This possibility may have important consequences on the formation of massive particles during the Big Bang in the framework of the Standard Model. The obtained results are in agreement with the values in mass and radius requested to be consistent with the rotational velocity curve observed in our Galaxy. In addition, the average density of such strange dark matter halos is similar to one for halos of dwarf spheroidal galaxies, suggesting a common origin of the two families of cosmic structures.