I don't take insulin [metformin & empagliflozin], but have numerous other health conditions including a gyp knee and asperger's. Because of the latter's behavioural oddities like repetitive scheduling, this is very relevant. Anyway, what I did was to work gentle exercise into my schedule by avoiding public transport.
To give more detail: My daily schedule starts off around 2am when I get up, have my morning coffee and read papers. There then follows three or four hours of project research, followed by a couple of hours of life chores like holding court with my friends & patrons, shopping and a luxury cup of a Costa coffee. (Because of extreme social isolation, the "holding court" part is actually very important.) This is followed by a lunch and "la sieste". After my sieste, I do any project work that is likely to disturb my neighbours. In the evening, I generally spend a couple of hours doing project planning & scheduling, followed by an hour of Netflix before retiring to bed.
By cutting out public transport, the "life chores" part of my schedule involves a circular walk with a radius of half a mile or about 3 miles in circumference, with plenty opportunities to rest and recuperate. While to some this might not sound like much exercise, combined with my moderately low carb diet [150 grams/day], I have lost nearly thirty kilograms and 10 inches off my waist in the last year.
In fact, I have lost so much weight my Doctor is starting to get a bit concerned and recently ran some test to check if I had any other issues. To me, since I was always a beanpole, unsurprisingly, the test came back negative. On the other hand, while I would need to lose another couple of kilos to get back to my "fighting weight" I am considering to what extent I can increase my carb count without increasing my BG levels.
While everybody is different, I hope this gives you some ideas on how you might work some exercise into your schedule.
Irvine