Are you getting killed on the way out? When going through this part of the mission, after reaching the center of the map I always fly high above the system plane; high enough to avoid the attention of the turrets on the way out. I don't have much luck here either, I always get shot at and blown up, which is why I fly over them.

Or you could shoot at the back of the turrets while you're in the middle, and destroy them before moving on (this may take a while).