Here is an add-in to allow people to generate and select OMARS experimental designs for 5, 6 or 7 factor experiments. The add-in was presented at the 2022 JMP Discovery Summit Europe, OMARS Designs Add-in: A Gateway to a New Family of Orthogonal RSDs.
OMARS was based on work by José Núñez Ares and Peter Goos, presented in their paper, Enumeration and Multicriteria Selection of Orthogonal Minimally Aliased Response Surface Designs.