Larger-caliber Phalanx-style weapons and the weight problem

Has anyone tried building a 40 mm Phalanx-style close-in weapon system?

A 35 mm version is recalled as workable but heavy, with uncertain practical value. A modern 40 mm attempt is suggested.

A 35 mm Phalanx-style installation is recalled as having worked, although it was heavy and its practical value was uncertain at the time. Those reservations make weight an important consideration in moving to a larger caliber. A modern 40 mm version is proposed as an idea worth revisiting, without a claim here that such a system has already succeeded.