Thanks for all the help. I think I have found the problem.
A few weeks ago I asked about a leak at the pigtail connection. I was told to check the tank seals and the pigtails. I cleaned the tank seals and replaced the pigtails, mostly because after 5 years the hoses were stiff. Anyway I tested for leaks after those steps and all seemed fine. Then I discovered I still had a slow leak. I checked the pigtail connections again with no signs of a leak. I just did an additional test and after 10 minutes I see very small bubbles under the pigtail nut. I conclude the leak is due to the tank seal. The tank is an Paraco exchange tank from Home Depot. All of the propane tanks at my local Home Depot are older than 12 years and very few have recertification markings, including the tank with the leaking connection. Fortunately I found that Lowes has new exchange tanks and will accept the old junkers from Home Depot.
Thanks for all the help and suggestions. At least I learned the rest of the system seems sound.