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I get, on a good night, down to 11.8 with a 70mm refractor (slightly different to the 76mm reflector) - suspect down to 10.5 is probably more workable though. That applies to stellar magnitudes not the magnitudes of non-stellar objects which are often a different kind of animal due to their often extended nature (magnitudes quote are integrated over the object's area - classic is Helix nebula as an example, magnitude 6.5ish but spread over a large area = interesting to find).
Do not know the focal length of your telescope but suspect the 6mm eyepiece will not be all that useful most nights.
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