Hypocritical or hypocritical means saying that you live by a certain code or standard, but behaving in a way that proves you insincere--
He pretends to be ambitious, but he's actually lazy and somewhat hypocritical.
She's hypocritical --"do as I say, not as I do" is her motto.
Hypercritical or hypercritical means excessively hard to please or fault-finding--
A visit from her hypercritical in-laws always wore her nerves to a frazzle.
Don't let her annoy you; she tends to be hypercritical.
Now that you know that, you can say--
"He says "don't judge" in a hypocritical tone, because he's actually hypercritical."
Note--"Hippocratic" is the name of the oath taken by doctors, named for Hippocrates, a physician of Ancient Greece--
"Above all do no harm" is part of the Hippocratic Oath.
