Honeycomb creator can model t and 2t if you want that, but if you are not using aluminum honeycomb core material which has that different thickness as a consequence of the manufacturing process, but are printing the honeycomb walls with a 3D printer, why would you need to vary the wall thickness?

I have modelled aluminum honeycomb core material by using a solid block meshed with solid elements and there is no hexagonal cells in the geometry. Instead, orthotropic material properties are applied that simulate the mechanical response of honeycomb core material sandwiched between two face sheets. This was described in detail in the discussion I linked to in my first reply in this thread.