The part where Jesus's followers do not wash their hands, cups, or plates before eating.
I see where Jesus says washing is not sacred, but where does he clarify that it IS materially healthy.
Handwashing? I'm not sure Jesus was trying to deal here with handwashing. The levitical laws and priestly duties are a better place to look.
I'm not all that familiar with the handwashing rituals, or where they came from, but Jesus didn't seem to think they were necessary to keep a person holy (clean in the heart). Perhaps Hutchinson was misusing the passage.
Washing and staying away from people for a time after touching a carcass, not getting near other people if you had leprosy or a discharge of blood, or whatnot, or other temporary unclean situations give an indication that God was helping the Israelites to survive better, to not be afflicted with pestilence/disease, even though they didn't know about germs, seems pretty clear.
[Deu 5:29 KJV] O that there were such an heart in them, that they would fear me, and keep all my commandments always,
that it might be well with them, and with their children for ever!
[Deu 5:33 KJV] Ye shall walk in all the ways which the LORD your God hath commanded you,
that ye may live, and [that it may be] well with you, and [that] ye may prolong [your] days in the land which ye shall possess.