Agreed, a bit thin but as luck would have it I was practically on top of of those coordinates (with their sign flipped). I was near the bubble end of the Scheau Hypue Badlands crossing, I'm headed back to the bubble to re-outfit and check some things that can only be done in the bubble so I was only 1000LY or so from -5300, -48, -6350 which as somebody else pointed out is only about 2K LY from the RRline and still more or less in the Rift area.
I checked it out on the map and more so when I got there. It's a veritable sea of Y-Type Brown Dwarf stars. 100's of them. There's enough refuel stars intermixed that it's easy to make your way through but if you're traveling on a light tank keep an eye on the guage. This pic shows some the Y-Type stars (they extend east west a lot and a bit north south) and their relative location with the Heart & Soul Nebula to the upper left and the bubble straight ahead.
http://s23.postimg.org/6it5g0evv/Screenshot_0006.png
I went to the closest star to those coordinates (Phrio Hypue WH-K A104-0), it was a planet-less brown dwarf. I looked around a bit in supercruise but didn't see anything interesting. The view from my six (star behind me) is pretty nice with the galactic plane and H&S Nebulas in the distance.
http://s22.postimg.org/hpzqmw38h/Screenshot_0005.png
I then when up and down a bit hitting 5 other systems in 5300, 6350 box. 3 more dwarf stars, an M class and a dwarf M, they had planets and I scanned some of the more interesting ones but nothing really turned up. I've dumped what little data I had into EDSM. I could have done a more exhaustive search of the stars in the immediate area but there's 100s of systems out here and the precision or even relevance of those coordinates is pretty debatable. If it's 5380 -24 -6260 then I'm 100+LY out of position and there's 30 stars to search. I did search the map for some of the common EB-P, ON-C type name combinations or named systems but there weren't any. I also didn't see any black holes or neutron stars in the vicinity.
I'm going to head on back to the bubble but if somebody wants to scour that area there's enough brown dwarf stars to keep you busy for a month. It is an interesting area and fits some clues even without the color code bit but ultimately I suspect it's a red herring.