As others have said, this is called the Dawn Phemenon and is caused by your liver dumping glucose into your blood, because you've been fasting overnight and you need the energy when you wake. Happens to most people, whether diabetic or not.
The only remedy is to take extra insulin, which is different for each person. I need an extra 1 unit. Also, if it's spiking you into the 20s, then I'd consider reducing your carb intake for breakfast. Go for yogurt, cheese, eggs, bacon, nuts, low carb porridge (Google recipes), low carb granola (again, Google recipes)