What's wrong with my teeth?

Ok so it started a few weeks ago when I thought they were being sensitive. I stopped drinking fizzy drinks etc. to see if it would stop the pain in my tooth. It didnt and the pain then spread to the tooth directly above it and soon after to others (situated above/below each other).The teeth that hurt are the second from the back on the left hand side (top and bottom) and the canine on the left and side(top and bottom).
The pain has been getting worse and after seeing the dentist he saw nothing wrong with the teeth and said there might be an infection after seeing an xray of the two molars.
Five days later and having finished the course of antibiotics he gave me (250mg 4 times a day for 5 days of amoxicillin) the pain worsens. I saw about Trigeminal neuralgia which explains my symptoms well.

The pain comes randomly throughout the day being one of the 4 teeth sometimes more then one at the time (always the same 4 teeth) and the pain started with one then the one above then the canine then the one above that.

Any advice?