Ok, that's confirm what I've said: first, the patch is surely not black, but it's dark grey/green. But, you said the problem was at 3-4 NM out, which sounded a bit strange, now you say it's 13NM out, which is also what the DME in your screenshots shows.
There's nothing we can do to increase range over than 13NM, that's just a built-in limitation of the kind of polygons used in the airport, which still use FS8 code. We might eventually fix this with a future upgrade of KLAS, but in FSX only, FS9 will always stay that way.