Hi Richard and welcome to the forum.
Was this your HbA1c test? If it was, it was just on the target level expected by most GP's and nurses, so not too bad. However, it could be better. It is the same as I was when I was diagnosed. Yes, you can get it lower with a suitable diet, lower in carbs (not just sugar). Have a look at this
http://www.diabetes.co.uk/forum/threads/a-new-low-carb-guide-for-beginners.68695/ as it will help you understand what you can do. Many of us on this forum have reduced our levels considerably with a suitable eating plan.
Perhaps you should contact your surgery and ask if it was an HbA1c test, and also ask for a print out so you have something to ponder over at home.
It is ideal to try and lower your HbA1c levels to a non-diabetic range, which is under 6 (or under 42 in the new measurements).