" Do you know what that type of 4 pin plug is called? Or the pin outs so I can make my own connection cable?"
Some thoughts before you decide to go that way:
1.) You will need two different crimpers. Each will cost 15 to 20 USD.
2.) You will need two different connectors. They are seldom sold in singles. You will probably have to order in bulk for ~5 to 10 USD for smallest package.
3.) You will need to find the two different size and gender pins. They may or may not come with the connectors.
4.) There are probably hundreds of similar connectors pictured on the internet that may appear to be correct but actually not work when they arrive.
5.) You will have to find the proper gauge wire, which will have to be purchased as a roll. $5.00?
6.) You will need to find the noise filter, which you will also have to buy in bulk. $5.00?
7.) None of this is likely to be available locally. Most will have to be ordered. Probably from China. With shipping costs.
8.) If you make an error, you will destroy the drone and/or the camera.
If you still want to go this way I will try to take some decent measurements and make a drawing. Let me know.