I have something similar at https://gravitoy.xyz

With it I have discovered up to 11-dimensional choreographies, see https://lycium.github.io/hyperchoreography/ and code at https://github.com/lycium/hyperchoreography/

Exposition video: https://youtube.com/watch?v=sIfff10hYZA

Example rendered output from Gravitoy (not of a choreography though): https://www.youtube.com/watch?v=N3BwCoiwsGk

Looks like I need to update my catalogue to take into account the many different 2D choreographies from the references on this site!