The model of superconfiguration (SC) temperatures has been used extensively for computing the population dynamics of very large systems in hot dense plasmas. Plasmas of Ge, Xe, and Au have been studied for a wide range of values of Te and Ne. For plasmas containing a distribution of a dozen of ionization states, two systems of a few hundreds of linear equations are solved, with one equation per SC. The power of the method lies in the possibility of determining the populations of all the electronic configurations belonging to those SCs. This opens the way to detailed modeling of complex spectra and to calculations of emissivities and opacities in laser-plasma simulations and experiments.