The closest you'll find to a 5000K coated mercury lamp in the US are the
Feit Electric brand lamps . They appear to have no phosphor, just a diffusing coating. Also, if you can track down one of the early
Chinese made clear-top Westinghouse 175w mercs , they have a poor phosphor that gives the lamp a much higher colour temperature, similar to the previous made "High Output White" (/W suffix)lamps.
I have a NOS /W lamp (made by Sylvania) and indeed, the CCT is close to 5000K, maybe a bit higher, though a little more green than white.