So it looks like your correction ratio is about 1:1, and your carb ratio is about 1u per 15gch, something like that? As you are going persistently high from meal to meal, I would strongly suggest increasing your carb ratio. Maybe start with 1u per 10gch, and raise it from there (slowly) until you start to see normal range BG pre-meal. At the same time check your overnight BG carefully (maybe wake up middle of the night to check) and be prepared to drop the basal if you start getting hypos. One rule of thumb would be, for every extra unit of bolus insulin you are taking during the day, drop off one unit of Levemir per day. That might drop the Levemir slightly too much, but that's better than having a hypo, and easily corrected. And it's possible your Levemir is correct. But I'm pretty sure your bolus insulin ratios are too low.
Is it possible for you to have a fasting period to confirm if your correction ratio is correct? I'm wary of suggesting you increase this, but with highs at every meal it's hard to distinguish which ratio is to blame - could be both. It helps to nail one variable down at a time and then work on the others. In some ways the correction ratio is the easiest one to nail down.