If your rims are stock and it did not vibrate before, only after you changed the tires, this means the balancing is not done or not effective. Have it properly balanced and make sure the lead is stuck to the rims properly. Some fall-off lead weights can cause this shimmy at 90 kph as well.
The hubcentric rings is to centre the 72.5mm hub to the 74mm wheel if thats a E39 wheel or after-market ones made for E39. E34 has 72.5mm hub-size, same as E60 the new 5-series. On these wheels once you put a single lugnut into the wheel when it mounts to the hub, there is no (ZERO) movement on the side. ie no play. Without the hubcentrics, there is 1.5mm of play and this will cause vibration. Of course it is possible to fit it properly, but difficult as hitting a small pot-hole will offset the play by 1mm and vibration willl start. USing stock rims will NOT have have this problem. As it is 72.5mm perfect fit!.
Get your wheels balanced properly. Both of them!.