The washer shakes violently then the off balance sensor trips when a load is in the washer.

I had this washer at one point in time. was not very happy with it, even though i sold it to alot of my customers. usually if the machine is shaking violently it means one of a couple things. first make sure your washer is properly leveled. if it is make sure you washing the same types of clothes in the load, no mixed loads of towels with shirts. if your problem is not that then you possibly have a bad clutch. which will cause the tumbling wheels to spin during your spin cycle as well, its a costly fix so i would consider a new front loading maytag/whirpool if that is your problem. remember this machine was designed by maytag, since then they were purchased by whirlpool and everything is on a whirlpool platform now. if you do purchase a new washer and have the matching dryer to your neptune TL, it would recommended to replace the dryer as well, considering the capacity of these machines are smaller then most of the new high efficiency machines on the market today.