I have eaten LCHF doing Atkins for a long time, but even so I have had some strange readings from time to time. Food is not the only source of blood glucose, so it is quite a complex juggling act and difficult to sort out if things are not going to plan. I have has some higher than expected readings, which might be due to foods not being what they appear to be from the description on the menu, but they have also occurred at home. My levels have been dropping on average from week to week - so that I do not see high spikes after meals, but my fasting levels are usually higher than normal, but even they drop down into the 5s or 6s, just not very often.
I suggest doing a lot of testing, and also eating small meals spread through the day - you might find that you tolerate carbs more easily at some times of day depending on when you sleep and when you exercise. I find that it is not just the quantity of carbs but also the sources of them - legumes are something I avoid as they spike my levels for a long time but an equal amount of carbs as berries is nothing like so high a spike and gone much faster.