Ships What is the biggest equipment size available for the Cobra MKIII?

So I've been looking around for size 4 thrusters, power plant, and frame shift drive. Coriolis.edcd.io says size 4 fits the ship, but I've been to about 4 different stations and the max I was able to find for those parts was size 3. Is size 3 simply the max and the site was wrong? Excuse me if I've made a mistake, I've only had the game for a few days.
 
Yeah I used that tool to find all of those 4 stations. I guess I'll try higher population, high tech places.

Also make note of when the data was last updated on that site. Sometimes it can be old data if you are in a low player population area.
 
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