The manuscript presents a novel monolithic catalyst support structure, which is inspired by the shape of diatom shells. By using a genetic algorithm coupled with an FEM solver, a parametric model is optimized towards good radial heat transport. By comparing the optimized structures with honeycombs already used in industry, the beneficial thermal properties are demonstrated both for a pure conductive case as well as for superimposed fluid convection using Computational Fluid Dynamics. Here we provide the main data sets used for the figures in the manuscript, including STL files, OpenFOAM cases and python codes. Explanations are given in 'ReadMe' files. The size of the unzipped repository is 6.3 GB.