Audible low level humm from Vincent st-70


I'm experiencing a low level hum from my speakers when connected to my Will Vincent st-70 that is audible when not playing music. It is constant and does not increase or decrease with volume setting. Replacing the amp with a SS amp eliminates the humm. I have tested all the tubes and replaced the ones that showed weak. All current tubes show strong with two of the Kt77's showing minor grid leakage but still well within the good range. Humm is in both channels. The amp sounds great but I find the humm annoying between discs. Even though my GZ34 rectifier tube tested good could it be the problem?
ces4x4
Update: I swapped out the JJ KT77's for some Electro Harmonix EL34's and the humm dropped by at least half. I like the sound of the KT77's better so I have ordered some fresh Gold Lion Kt77's. So we shall see!!
EL34 has lower gain than KT77, but I doubt about tubes since your humm isn't volume depended. Try swapping AC plug terminals using cheater plug.
Good luck...sounds like you have got 'at least half' the problem solved...and if it really is tubes, then you've got the problem entirely solved!