Voxel Tree Generator Project

My challenge is to randomly generate a voxel tree that looks something like these: https://imgur.com/a/LT17der (not my own voxel work in photo)

For now i'm Just looking for ideas on how best to approach creating the trunk. I was thinking I'd start with setting the width and height of the the trunk and add each block at coordinate positions layer by layer with some degree of randomness as to where exactly the blocks are placed.

Any thoughts and suggestions are appreciated - for now i'm looking to keep it simple.