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The VeloBase page for the SL-6400 shifters say they are indexed (http://velobase.com/ViewComponent.aspx?ID=75c91ac5-4408-49e5-a9f1-d6581e1be9d5&Enum=104) I was under the impression that this meant they were not friction shifters but would be happy to be told I'm wrong :)
EDIT: I uploaded a picture of my rear wheel to make things easier
The op says he has 6 speed uni glide. Silly suffolk has assumed that the op has a 6 speed freewheel which maybe correct but maybe not. The op may have a 6 speed uni glide cassette in which case finding a 7 speed cassette is hard has they are almost extinct.
If the op use friction shifter and does fit a 7 speed cassette or freewheel then fiction shifters don't care what your sprocket spacing is. Down tube shifters should be friction