This is glitched.
I see that two people have gotten it, so it seems possible to get it. But for me it never did pop. Gotten all the rest of them grinding some runs after completing the story.
The actual solution for this is first complete a run to sector 7 / The Lab.
You the get some background story about what's going on and a mission to collect 8 DNA strings.
DNA strings you get from killing clone of yourself. You can find 0 or several strings each runs. And they show on the sector map as DNA Helixes.
You must complete the run to the Lab for the collected DNA to be added to you final count.
When you have the 8th string and arrive at the Lab you will encounter the Warship that keeps chasing you when you stay too long in any give area.
Killing this Warship is what should grant the achievement.
You are supposed to go collect some energy cores from the automated turrets that's on your side (yellow targets) - you can collect more than one at once. And bring them to the missile silo to launch missiles at the warship.
You must time the launches though. Every now and then the Warship will fire a death ray at you, at which time you need to be hiding behind something - mountains and such. After he fires the ray his shields will be down for some time. This is when you need to launch the missiles.
I did this on Easy, and had to launch 4 missiles to bring him down - not sure if its different on Normal or Hard.
After a cut scene you should get the achievement. I didn't. I asked one who has gotten it, and the only difference from me was that he was on Normal.
NB: This fight is also bugged for some. The ship don't start firing its death ray, thus never loosing its shield either.
This should be solvable by "Save and quit" and restarting the game (perhaps Xbox too?).