National Semi says in their datasheet for the LM3915 that the very simple transistor and diode peak detector produces an offset voltage of only 0.1V. But I simulated it and got hundreds of mV. Then a few LEDs in your circuit will light all the time. Now I call it Mickey Mouse peak detector circuit.
I never used that Mickey Mouse circuit, I always use a precision peak detector circuit with a single supply opamp and a transistor. The transistor can charge the peaking capacitor much quicker than the 10k resistor in the Mickey Mouse circuit and it has an output offset voltage of only a few mV. Here is my peak detector circuit that works perfectly: