Good luck with this dose. I hope it gets her back on the downward numbers trend again.
The 6 unit dose is sort of a milestone here. When a cat reaches this dose, we suggest that people get there cat tested for acromegaly (IGF-1 test) and insulin auto antibodies (IAA). My Neko had both conditions, some have one or the other. At this size of dose, the odds are a cat has one or the other. There are cats with these conditions on smaller doses, but over 6 units it's more likely. Acromegaly is caused by a benign tumour on the pituitary that causes excess growth hormone to be output, which in turn causes the diabetes. Recent studies have shown about 25% of diabetic cats have this condition. There are treatments for it. IAA is sort of like the cat's body reaction to injected insulin. It is a condition that can go away over time. Both cause insulin resistance. The signs of which can be a dose looking good for a while, then not. You just have to keep increasing until you get a dose with good numbers. And things can still change after that. All cats, no matter the size of dose, will find a dose that moves them into good numbers.
Both tests are done at Michigan State University. Your vet can draw the blood and sent it there for testing. If you have questions, which I suspect you will, please let me know.