"Assuming 15mA, the base resistor should be about 20kΩ or less."
The base resistor should be much less than 20k. Use 2k2 or less
The transistor has a gain of only about 50 to 70 at 50mA.
The transistor divides the 2k2 by 50 to get an equivalent of 44 ohms for the resistance of the...