Before revision:  We also show that this model can exhibit long-lived temporal correlations, thus providing a primitive form of cellular memory.
After revision:  The occurrence of such a peak is analysed as a function of the parameter space. We present a new relation between the flip time distributions measured for two relevant choices of initial condition. We also introduce a new correlation measure to show that this model can exhibit long-lived temporal correlations, thus providing a primitive form of cellular memory.