Here is the list of tasks written by KEVIN737 on some forum.
But I will focus on the last one, because it was the hardest for me to get.

Easy difficulty. I used a Scout ship. I also recommend using the following Enhancements:

• Ancient Structures (Displays all Ancient structures on the star map)
  
• Headstart (Start in Sector 2)
  
• (optional) Sensory Overload (All enemies and loot are visible on the radar)

Go to Sector 5 ASAP. You can use the Ancient Depot to jump faster to Sector 5.

1/2
The first one I was able to find was in Sector 5 – Ancient Depot, on Easy difficulty.
Keep in mind that the Sensory Overload Enhancement will NOT highlight Grey Goo from a long distance. You need to be close enough to see the white icon.

2/2
The second one I spotted in a regular Medium risk area of Sector 5.

Suicide ship and go to Throng





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If this helped you get the achievement, I’d be grateful if you leave at least a like!