MATLAB script for generating lattices based on triply periodic minimal surfaces (TPMS). Seven different common TPMS can be selected for modeling. The corresponding level set equations are predefined. All lattice structures can be designed as network or sheet type. The number of unit cells, cell size and relative volume fraction can be individually set. For the latter, the required level constant is determined automatically using a while loop and bisection. Finally, an STL surface mesh of triangular elements is created for the designed lattice. The mesh can be used for additive manufacturing (AM) as well as for simulations (CFD or FEM). The script can be freely used for scientific purposes. In doing so, please cite the following publication where the script originated: https://doi.org/10.1016/j.jmbbm.2021.104871