I will try to revive Sagemath's ticket #14110 and provide a Sagemath package for this enumeration (in fact, the C code, corresponding to the paper DB. D. McKay and G. Brinkmann, Posets on up to 16 points, Order, 19 (2002) 147-179 - (mostly) due to GunterGunnar Brinkmann, which is using Brendan's McKay's nauty, is posted there.