C++ Static Const Member Variable Usage

Say that I have a class that requires a few constants to function. Several member functions require use of these constants. Use of #define is frowned upon since it can cause collisions. The constants are hex patterns of 8 or 16 bits and are stored as uint8_t or uint16_t. These constants also don't change from instance to instance of the class, and therefore memory (albeit very little memory) can be saved by having only one copy of the constants.

Is there anything improper, or perhaps of better way of accomplishing the above instead of simply doing something like the following:

// mycode.h
// .......
class myclass {
private:
  static const uint16_t kMyClassConstant_ = 0xBEEF;
// .......
};

Thanks in advance for the help.