Doesn't sound right to me then. In fact it sounds like you might be a Type 1.5. Type 2 don't tend to go as high as 28 if they are producing their own insulin as far as I know, unless they also happen to be ill with something else. Not sure I quite understand what injections you are on - what insulins do you use? Basal insulin is the slow acting, like lantus or levemir, and bolus insulin is what you inject to cover your meals, like novorapid.
Some Type 2s do start on insulin, I believe this is true of ukJohn, but I think his doses are relatively high.