Voltage problem on 2003 Eclipse Spyder GTS
 

I have this strange problem. I have been trying to install some DRL LED strips. To provide power only when the vehicle is running, I tapped into a contact that was free inside the small covered relay box under the hood. When I turn the key on to ACC, the lights work fine, but as soon as I start the engine, the lights burn out. I put a voltmeter on the connector and it reads 12V. I don't see any spikes. What is happening here? Thanks for any help..Ken