Problem testing for more than 1 button test

[paulhook]

@Idahowalker

 const byte buttonPin = 2;
const byte buttonPin10 = 10;
    pinMode(buttonPin, INPUT_PULLUP);
pinMode(buttonPin10, INPUT_PULLUP);
    while ( (digitalRead(buttonPin) == HIGH) || ((digitalRead(buttonPin) == HIGH) ) 

Ok so i have this, it compiles but doesn't work?

 const byte buttonPin = 2;
const byte buttonPin10 = 10;
    pinMode(buttonPin, INPUT_PULLUP);
pinMode(buttonPin10, INPUT_PULLUP);
    while ( (digitalRead(buttonPin) == HIGH) || (digitalRead(buttonPin10) == HIGH) );