Are you sure about those measurements? Cause I have yet to see any boards that are more than twice (!) as long as they're wide. Also, if it is true, your board probably is a proprietary solution that isn't compatible with anything else, as none of the ATX form factor standards allow 20+ inches in one direction.
So, probably no case out there that could fit it, unless you're able to find the specific HP OEM case this mainboard originates from.