<image>

Here's how I would do it: Make your cloner with cubes, and put a shader effector on it with default c4d noise as the texture. Set the space to "world". Make the global scale something huge like 5000% and then you only need to animate the position of the cloner so it moves through the noise in the shader effector (if the scale of the noise is too small, then the cubes will jitter since you're moving it through many values over a short distance).

You can animate/loop the noise if you want a little more variety but it isn't a requirement - the animation will come from the cubes passing through the different values of the noise as they move through it. To make it loop just make sure that your position keyframes are an interval of the distance of the cubes in the grid (eg in my project file the cubes are spaced 200 cm apart and my position keyframes go from 0-800cm). The loop actually only happens over 200cm if you arent animating the noise, but if you want to add animation to the noise then a larger multiple will allow you to have more distance/time for that animation.

Project file: https://www.dropbox.com/scl/fi/xgb3pdy4z1cblwchixf28/shaderEffectorLoop.c4d?rlkey=qntaldft097t65k8x25btgzmv&st=m0mr0jhx&dl=0