Aim of the study was determination of a minimum mass - maximum static stiffness optimal shape for a hexagon-type lattice superelement. Additionally the correlation between the static and dynamic stiffness of the superelement was studied. The shape parameterization based optimization involved building of a geometric shell model according initial assumptions and defining appropriate optimality criteria. The optimality criteria were based on correlations between selected mechanical parameters of the superelement. The chosen optimality criteria provided similar geometries, which represent a certain geometric limit case under a maximum mass constraint. This allowed for the conclusion that the chosen criteria have yielded geometries which, except for minor differences, correspond to maximum static stiffness structures.