08:38
OK that's great! So that suggests that your code is correct and there is something going on in the experiment.
The stochastic term models current noise, but if you use the formula for Johnson noise, then you are assuming that the dominant noise source is the resistor in parallel with your Josephson junction (the R in the RCSJ circuit). The current source could have additional noise that is much larger than Johnson noise at 70 K.
Anyway, current source noise is my best guess. Can you guess any other noise sources that could explain the discrepancy?
Of course keep in mind that I have no details about your experimental setup, so I can't be sure if the RCSJ model is appropriate or if the parameters are correct.