Eye twitching is a result of stress. Many things can cause stress, including nutritional deficiency, or undue environmental stresses. The other thing that can cause eye twitching is a neurological disorder such as muscular dystrophy which can be exacerbated by exercise. Most of the time the twitching is benign, meaning there is no real danger and its a sign that you need to relax, and slow down. If you're under a lot of stress at the moment this could be the problem. As for heart disease and high blood pressure, stress causes both of those as well. When we're stressed our body produces adrenaline, and conusmes tons of vitamin C to compensate. When the body doesn't have enough vitamin C to control the adrenaline levels, permanent effects such as high blood pressure occur. Twitching can coincide with high blood pressure, but it is not necessarily a symptom.
If the twitching is getting continually worse, I would recommend you see an ophthalmologist. Refractive error (the need for glasses) can stress the eyes and cause a twitching sensation, and it will get worse if the problem is ignored. Your ophthalmologist can rule out refractive error and any other problems with the eye that may cause twitching (dryness can cause it but the dryness has to be severe and long term). If nothing can be found, you'll be sent for an MRI, and labwork. If you suspect something is wrong, go to the doctor. Seriously, you may be sensing a bigger problem intuitively, don't ignore it.