Many transparent objects

Is there any way to increase max transparency bounces above 15 with the default Rhino rendering? I have a model that looks just as I want, but after rendering the objects in the back aren’t shown due to being behind too many nearly transparent objects. I’m going for the effect in the first image, but it doesn’t come through in the second image (too many boxes). The screen shot taken before rending show something closer to what I’m looking for.