Generating new sample with same distribution

I have a timeseries data for 1 week. The data contains readings from a device for certain hours of the day. There are about 8-10 readings per day at different timestamps. The timestamps recorded for each day are not necessarily the same. For example, day 1 has timestamps [08:10, 11:50, 13:40, 16:30] and day 2 has timestamps [09:00, 10:50, 14:30, 17:00]. Now i need to generate a new sample of data for an extended period of time (say 2 months). The extended sample should have same distribution of the 1 week data. How do i do that in Python?