This datacron is in the same location as the Imperial-only Taris Blue Mastery Datacron, though that one you need to traverse the jumping puzzle at night time.
Quick Travel / Taxi
Run to the North to get on the Pipe
Just North of Brejik’s Run, there will be a large pipe that acts as a ramp that you can climb onto, giving you access to more ledges you can jump on.
Once up the pipe, go to the left platform and walk over the giant fallen girder.
At the end of the girder, head to the right.
Keep follow the ledges as they go around the building to the right, carefully jumping over any gaps, and soon you’ll be able to see the datacron. Keep in mind where it is, as it will help you figure out where the path to get to it is.
Further along the edges, there will be a forking path – one that continues around the buiding, and one that leads out to a pathway of dark gray broken columns. You’ll want take the darker-colored columns, which is the branch towards the right.
Eventually, as you keep following the trail of debris, jumping over gaps, you’ll reach the datacron.