I did not try synthetic oil yet. I was waiting until i got more miles on it. I'm at 4,800 on it now.
I've never heard of Redline oil, who makes it? maybe its not for sale out west. I've been using Castrol on my 07 bandit and will use that on the 16. on the advice of mechanic I use oil that says its formulated for motorcycles. waiting till 2500 miles is ok by me.
http://myweb.tiscali.co.uk/daz1234/1250manual.pdf
Page 1D64 shows crank position for balancer install.
Page 1D65 shows installation and lash adjustment, which can be done without removal of the oil pan.
If the balancer was not properly aligned at factory, the pan must be dropped to correct, but appears to be removable IN FRAME.
1D72 bottom of page details removal and repair of the balancer. There are pin bearings, and dampers, in the shaft that can wear out or disintegrate.
This should be everything you need from the factory manual.
I marked the position of the balancer shaft and tried adjusting it. No difference. I'll try switching to synthetic oil and see if that does anything. I've got a feeling it's just one of "those"bikes.
Factory lemon.
I'm convinced about 25% of the 1250's vibrate. There's no way the people in the "smooth as silk" camp are riding the exact same bikes that the OP and myself ride.
I am stuck on the point where pulling in the clutch makes the vibration go away. That smacks of a tight link in the chain. All it takes is one. With a slack chain or better yet with the wheel removed manipulate each link and look for any tight ones. Another possible culprit is the cush drive. Have you removed the rear wheel and inspected the rubber for correct installation or any funny wear pattern? If you set the bike at a given speed, such as 45 MPH and shift through gears from second to sixth does the vibration go away?
I will give that a shot, hopefully I have the same result. If not I don't think I'm going to make the effort to track down the issue through Suzuki. I really like the bike but I can move on to something else pretty easily.