I've made no changes to the excellent original design at all except to cut and paste it 4 times so that 4 boxes and lids may be printed at once. Fits on the replicator build platform. We love box and lid!

I got the best results with 1 extra shell and 10% infill. I printed at .25mm height. 3 extra shells results in a mostly solid box for more strength as well as just printing with 100% infill if you need a stronger box.

Oops, uploaded just the gcode, now added the stl for your own slicing pleasure.