I have a metal rack that is 24" wide and 48" tall, it is a metal modular
rack with various attachments - hooks, shelves, knobs etc...and has four
attachment holes on the vertical edges of the frame. Ideally I would like
to attach drill four screws through the holes into the wall studs. But of
course the studs are 16" apart, and I can't even position it such that one
side of the frame will match up with the frame because I like to center it
and align it with a door adjacent to it such that when the door is fully
opened it will cover up the rack on the wall.

I can use toggle bolts but I don't think the drywall will have enough
strength. I thought about cutting two pieces of wood and mount it
horizontally into the studs above and below, and then screw two vertical
pieces to them to form a frame, but this will not be symmetrical.

Any idea?

O