I have a Kenmore Elite washer and when it goes in the last spin and rinse cycle it starts bouncing around and shows a UL code. After rearranging the clothes and even removing most of them it still does the same thing and we have to remove the clothes wet because it will not spin out without showing the UL code and shut off.

SOURCE: UL Code

if you have cleared the codes by pressing pause/cancel and the codes keep setting call for service your still under warrenty let them deal with it

SOURCE: series 70 kenmore elite washing machine

If it goes through the complete cycle o.k. except for the slow spin then the motor itself needs to be checked.

SOURCE: Computer board shows UL even when very few clothes are in the washer

try to unplug and plug back after 30 seconds.

SOURCE: My Kenmore Elite washer spins to slow cauisng the

If this is occurring mostly on heavier loads your clutch may be slipping. If you take a flathead screwdriver and push down the lid switch so the washer will spin with the lid up, grab the inside of the drum. If you can easily stop the drum its most likely a bad clutch. If you tip the washer back and see oil underneath then its probably your transmission leaking oil onto the the clutch causing it to slip (in which case you need transmission and clutch assy). If you see oil I would probably not bother calling a tech it would be a pretty expensive repair.
IF the problem is with the clutch only it may be worth repairing but to replace the clutch you will have to remove the pump, motor, transmission, and the clutch mounts on top. The other less common possibility could be a bad drive block under the inner tub. hope this helps. _MJ_

SOURCE: I have a Kenmore Elite Oasis He washer. The washer

sd is suds error. add only HE soap. UL is unbalanced load. watch load size and balancing loads.