How to hang large acrylic case

Question
I am doing artwork that will be encased in a acrylic case measuring 72″ across and 30″ high with a 3″ depth.  Acrylic is 1/4″ thick.  The case will contain preserved butterflies that have been arranged to look as if they are in natural flight pattern.  What is the best means to attach the case to the wall and support it?