now that the Sector Walls have fallen, "Tour the Galaxy" have changed a bit. In the past, you needed to visit each Sector Block to get the Energy Credits, that we all want and need.
However, this has changed now. You are required to visit certain System. You do not enter same, it is sufficient to scratch the Orbit of its outmost planet. In essence, the overall strategy changed.
I encourage you to be a Hero to all the Galaxy Tourists by coming up with a solution.There is no fixed starting point. Just contact the Mission giver via the Available Tab. Here is the Map and the Systemlist:
Find the best route and let us know what kind of build you used (Ship, equipment, DOFF, etc.)