I had an Award TT that all of a sudden started doing that. I noticed after a while it was doing it in the middle of the day when it warmed up, they would turn off when it cooled down in the evening. I narrowed it down to one of the running light wires in the ceiling was shorted to one of the ceiling light + wires (I`m assuming pinched somewhere). when I removed the fuse for the ceiling lights the running lights would also go out. I just cut the power feed to the ceiling lights and ran a new wire for them. That was the easiest fix short of removing the entire ceiling and trying to locate the short!