I'd go with smaller groups of cells and then connect the smaller panels together in series afterward. No telling how many you would break trying to move 40 cells around once they are soldered together. For a non mobile panel, so weight isn't a concern, I'd listen to the guy from Harold's earlier post that's been making panels for decades, so the materials you need are thin glass. Since you live in civilization and can get it cheap, get tempered glass, as thin as is available. The other materials is the proper clear silicone (no acetic acid released during cure) and something to thin it.
Here's what I suggested to Harold in a PM this morning:
...assuming the silicone will cure between 2 layers of glass, you can do it all at once. Pour silicone on the back of the front glass with just masking tape to contain it at the edges, lay the cells face down, look underneath for air pockets to get rid of, get your wiring out of the edge, pour the back silicone, place the back glass, remove the masking tape, use some vertical wood strips to keep the edges of the glass aligned, put a piece of plywood, and some weight, and wait a week or whatever for curing, trim the excess silicone from the edges, and put your frame.