Not sure I understand the problem. Are you saying that when you turn on a burner on the right side, all 4 burners click - that is pretty common with many of the pro style ranges, and is the way my Viking DF works. I think you are saying that once the flame comes on, all 4 burners continue to click, and that is the problem? The ignitors have a sensor that lets it know that the one you are trying to light has caught. I would first use a dry toothbrush, or a qtip with alcohol, to try to clean off any debris on the ignitor ( the thing with the metal wire that the sparks shoots out of ) and the body of the ignitor. If that doesn't help, you might want to do a search here on ignitor problems - it could be it is wet and isn't sensing the flame, in which case it might work once it dries out, or it could have gone bad, in which case it will have to be replaced, or it could be a module. I have linked one post on a similar problem

Here is a link that might be useful: ignitor problems

Thanks for the response Barry. That's exactly what is happening. However, it's been going on for a few weeks now, definitely not something wet. I'll try cleaning them with alcohol, but the fact that the two burners on the right side are doing it (yet not the ones on the left) are making me question whether this is a spark module issue or just 2 bad ignitors.

As for the linked posts, it seems that in the poster's case the sparks keep going even when all burners are off. That's not happening for me.

I've had this happen before. It's usually caused by dirt and gunk built up around or on the ignitors. Give the left side burners a thorough cleaning and see if that solves the problem.

Spilled liquids can also cause the same problem.

Definitely clean the ignitors with alcohol but also check the ports in the burner rings near the ignitors - if they're clogged, the ignitor might not detect the flame.

Ignitors cleaned and ports are clear. Problem remains. Guess I'm going to have to call in a service tech. :(