I have a Kenmore Elite HE3. When it starts the

Diagnostic mode for Kenmore Elite He3t model 110 42926 ...

iFixit https://www.ifixit.com > Answers > View > Diagnostic...
Apr 8, 2016 - With the washer empty, close the door. · Push "control/on" or "Start" · Select "Drain/Spin" · Select "No Spin" by pressing SPIN SPEED touchpad.
3 answers · 2 votes: I believe this is very similar to the model I have. Here is what I did to run a diagnostic. ...
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Diagnostic Test; Starting The Test Mode; Test Program ...

ManualsLib https://www.manualslib.com > ... > User manual
Close the door. Select the DRAIN/SPIN cycle. Select NO SPIN by pressing the SPIN SELECT button five (5) times. Push Prewash Option button four (4)times within ...

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according to kenmore, you should press the "pause/cancel" button twice and it should release it.  it may also have locked up the CCU, central control module and might need to be replaced.

Open the top and inspect the damper mechanisms that control drum motion in various directions. There may be broken pieces, or just something out of position. Hope this helps!

indicates that the tub support rods have failed at the air dampners
the fix is new rods from the service agent spares and a re levelling if the tub ,not the machine

F/06 Drive Motor Tachometer Error
The control is unable to properly detect motor speed and the machine will shut down. If a failure occurs during high-speed spin, the door will be unlocked after 3 minutes.

• Check wire harness connections between the Drive Motor/Tachometer and the Motor Control Unit (MCU), and between the MCU and the Central Control Unit (CCU)
• Check the Drive Motor
• Check the MCU
• Check the Wire Harness

it sounds like a clog in vent.if yours vents up thru roof you may need to have a chimney sweep come out and sweep vent.check and make sure the vent hose is net kinked or full of lint.

in the HE3 series it means the drain tube or pump is clogged

Select PAUSE/CANCEL twice to cancel the cycle. Select
DRAIN & SPIN if there is excessive water in the washer.
Re-select cycle and press START. If the problem remains, call
for service.

do you hear any sound while stops??

like ticking sounds?

Ours started knocking several months ago and then progressed to a high pitched sound when in the spin cycle. I manually turned the drum and heard and felt a bearing roughness. I lifted the drum assembly and felt a fair amount of play, which I think the initial knocking noise came from. On the sears web site a new rear drum mount cost 293.00. Today we went and bought a LG model wm2455hw at Home depot, on sale until 2/20/08. I couldn't see paying to repair a machine that only lasted four years.