This sounds very similar to what happened to my XJ8 3.2....had it in a garage and they couldn't find any faults, took it to Jaguar specialist "unfortunately chains had slipped 1 tooth and I was very lucky" chains changed and all good except for empty pockets :) Apparently the n/s side of my engine showed no spark so was not working, but I drove it 15 miles fine....lumpy but ok. Sorry it's not great news but could be worse.....good luck hope you get it sorted ok. Liam