'Lights' = brake light only. So far your tests have used DC voltages. The important voltage across the bulb, when driven with AC, is the RMS voltage, which should be no more than ~6V if you want the bulb to have a long life.to keep the volts up and lights on strong.
Your DMM, on its AC range, hopefully will give a reasonably accurate indication of the RMS voltage, despite the bulb waveform being non-sinusoidal.