Hi,
There are several possibilities.
You mention heavy vibrations, but where do you mostly feel the vibration? In the steering wheel? In the shift lever? Etc.?
The easiest thing to check is that the tire pressures are correct. Some cars are very sensitive to too low or too high pressures, or significant differences from one side to the other.
Next, also check that the tires and wheels are balanced properly. Even if freshly installed and balanced, there might have been an error or wheel weights might have fallen off. If you just had the tires installed/balanced, you might go back to the installed and have them re-checked. They can check the wheels, too, for any out of round or bent rim.
You mention new tires and I've had "bad" tires on cars before, that just seemed to always have a vibration that couldn't be corrected with balancing. Best way to eliminate this as a possiblity, and incorrect balancing/bent wheels/etc., would be to temporarily swap out with a set of wheels and tires that are known to be good. Maybe off a friend's TR6... if that were possible.
Another possibility is the drive shaft. Do you know if it's been balanced recently? It should be done, particularly after U-joint replacement.
Another possibility if the drive shaft was removed, is that the U-joints are out of phase, not correctly aligned with each other. This especially might happen if the spllined sliding member were seperated and not put back together correctly. I think most TR drive shafts have two arrows engraved - one on the front section, one on the rear drive shaft section - that need to be matched up.
The rear axles can get out of balance, too, I suspect. But I'm not sure about this, so hopefully someone with more TR6 experience will jump in here.
Other things that can cause vibration are the flywheel, clutch and crankshaft, if one or more is out of balance. These are usually rpm-related, though, showing up at the same rpm, no matter what the car's speed. For that reason, from your description, I lean more toward driveshaft, axle or tire/wheel problems.
Hope this helps!
Alan Myers
San Jose, Calif.
'62 TR4 CT17602L