Do System Points Ever Increase?

Looking at some of the featured ship designs, they seem to utilize more system points than the 16 I currently have, so I was wondering if something like adding lots of additional hull increases the amount of available system points?
Also, on a semi-related note, I'm confused by how it says my starting ship is using 10 system points, when the only objects I have from the System tab that use System Points are a Scanner and two Hull Stabilizers (which should only use 6, total).  I'm not sure what could be using up the other four.