Jesus' Tardis can travel far beyond 30 AD, I think. Keep in mind, disguising it as a portapotty means it won't look out of place at the kinds of places Jesus usually hangs out, e.g. construction sites or home renovation projects (being a carpenter and all).
You should seriously think about this the next time you see a random portapotty some place that doesn't seem to have any reason to be there. Look upon that portapotty and know that the Lord is near.