Dunlop Graspic Ds-3 wobble

so i am new to the dark side i have a 2002 kawasaki concours. i studied the dark side and found by chance that dunlop had 700 graspic ds-3 tires available at a manufacturing facility. Some calling around and I got one even though everyone shows out of stock. it is a 165 65 r16 instead of having to go with the fuel max or the taxi tire which seems to be the only ones in the right size for my bike. i can't find any information other than one reference of somebody who ran this tire. i am looking to see what pressure seem to work for them as when accelerating on the highway today the back and got real wobbly.

I have balance beads installed but it was a side to side wobble opposed to a bounce I hear some describe.

Any tips would be appreciated.

If you got the " wobble" then up the air pressure 2 to 4 psi and see if the "wobble" goes away. If it does run it with the higher pressure, if its still there then up the pressure some more. Do this till the "wobble" goes away. If you do get a 175R16 tire, I would NOT get the Austone tire, I have read more reports about getting the "wobble" with that one tire than I have with all the other tires in that/close size of tire.

ROD