Maybe you could try to layer a bass you like, with a square/saw like synth. Then only distort that second bass slightly, or maybe don't even distort it at all.

This sounds like nothing more than a square-wave based synth patch. The reason you are hearing distortion is that a distorted signal is a regular signal with the peaks chopped off to resemble a square wave, but this sound is cleaner and less crunchy than an actual distorted signal. It sounds like there might be either some noise or a more heavily detuned layer underneath but if you want to create a very similar sound I would say a square wave is going to be your starting point and forget about distortion. Often times we over-complicate things because we think that something that sounds so good to us MUST have gone through a rigorous and meticulous process of creation when 90% of the time it's just something really simple.