There are a few possibilities as to what could cause such an appearance on the MRI. At the age of 60, the most likely would be that you have too
high a blood pressure, and that some of the very small arteries in the brain have ruptured over the years. Another possibility would be that you have a condition known as "amyloid angiopathy" which involves an abnormal protein coating on the blood vessels in the brain. The final possibility is that you have a congenital condition of abnormal blood vessels - such as a hereditary cavernous malformation predisposition (just an example). I think it is important to clarify with your doctor which one of those is the case.
For the most part, if you have such findings on your MRI scan, it is very important for you to keep your blood pressure under very tight control. If you add the top number (systolic blood pressure) together with the bottom number (diastolic blood pressure), and add them together, you should aim for a goal of having the total be less than 200.
In addition, if you are on any blood thinners, including aspirin, I would check with your doctor to make sure that is still safe. Being on a blood thinner when you have a bleeding tendency in the brain could be potentially dangerous.
I hope that helps, and good luck!!