340 Gets Terrible Gas Mileage

Make sure your vacuum advance works, better yet check your whole ignition system. And read your plugs.

Do you have vacuum advance on your distributor?
Is it hooked up?
If hooked up, does it work?
You can see if its working with a timing light.
The reason I ask these questions is I've seen more than a few cars where the owner didn't understand how important vac. advance was to gas mileage, and engine life. Sometimes they'll say " it doesn't run right with the advance hooked up" if true, they've got some thing or things adjusted wrong. You need to find a local tuning expert. Doesn't have to be a Mopar lover, just someone who understands carburetors and distributors. Looks like a great car! A stock 340 with 3.23s should get about 12mpg in town, and with a very light foot I've gotten over 20 at 55mph.