Would that work? I'm no physicist so it seemed plausible to me, but I've asked physics students and they seemed to doubt it would be possible.
There are many multiple-star systems in the galaxy, some with as many as six or even eight stars, but something with that many stars in that configuration seems unlikely. Instead of one central star with the others in concentric orbits around it, you'd more likely have nested sets of pairs. For instance, Castor A and B orbit a common center of mass, but each of them is in turn a binary star, so you have an orbiting pair of orbiting pairs -- and that system in turn is being orbited by the Castor C binary pair at a much greater distance.
What would make more sense would be if you had a White Sun/Blue Sun pair and a Georgia/Kalidasa pair orbiting a common center of mass (since binary pairs tend to be of similar or identical spectral types), with a couple of red suns circling them further out. As it is, the orbital configuration and the relative positions of the stars make no sense -- and if those planetary orbits are shown to scale, they make even less sense. The gravity of the nearby stars would perturb those planets right out of their orbits. Indeed, the gravitational interaction of all those stars would probably prevent any planets from forming at all, even if there were enough material left over from their formation to make any planets out of.
Then there's the simple fact that there is no such star system known to exist within any reasonable distance of Earth. There doesn't seem to be FTL drive in the 'Verse, so the new system would have to be within maybe a hundred light-years or so, and there's no system like this within that distance.
So it's a very cool map, and a very imaginative exercise, but it's a fantasy construct.