51 years on insulin in Oz.
Hi Samowen,
It may be that you have discovered what is called the Dawn phenomenon or effect. You will need to check with your DN and doctor to confirm this.
According to my reading and my own experience, the Dawn effect usually starts around 4 am and so would seem to fit the time sequence you describe.
At 4 am, the 'body clock' starts to prepare each of us for waking up. The adrenal glands shot out cortisol hormone (steroids) at that time. Cortisol tends to increase blood sugars in readiness for us to face the day. Because we cannot expect our own pancreas gland to be able to handle that sugar 'boost', and if your insulin is pretty flat in its effect on blood sugars around that time, the sugar spike or Dawn effect is exposed.
I am lucky enough to use an insulin pump and my doctor can program the pump to release an extra boost in short-acting insulin, say, from about 3 am to 6 am, to cover the sugar boost (Dawn effect). It is not so easy with insulin injections.
I would suggest you discuss your results with DN and doctor and ask them how best you can deal with this. You have a right to expect some answers and not be told that it does not matter.