That is NOT a 15V-0-15V transformer - in fact if the red wires are connected like that it may not be a transformer at all by now!
You cannot add a center tap but if the reason you needed it was to use a two diode full wave rectifier, you can still use it with four diodes wired in a bridge configuration.
If you absolutely need a center tap, the only way to to make one would be to remove the secondary winding and wire two windngs in it's place, each of thinner wire so you have space for them. I would not recommend you try, the transformer core probably won't come apart easily and threading the wire around the plastic bobbin with a needle would take a long time and test a Saint's patience. It would be much easier to just buy a new one.
Brian.