Off the top of my head, you could position your null in the center and the first layer at the 6 or 12 o’clock position (when viewed from the top). Once in position, apply an “Auto Orient towards the camera” to the layer. Next, duplicate the layer 15x and parent the second one to the null. Now, rotate the null on the y axis 24 degrees then parent the next layer. Repeat for rest and you should be set. Once in place, you can simply replace the layers with your final images.
Good luck
Ken