Is there a verb form for "Template", or such synonym?

My research shows that the word Template exists only as a noun.

Dictionary.com

M-W

The Free Dictionary

I feel comfortable using the word to Template, or Templating (as a verb or gerund), to express the process of creating a template, though it doesn't exist...

Or is there a good word to describe this that does exist?

My need is a bit tricky - I'm referring to a process where you create a template and then create documents based on it. So perhaps we could say:

Start the Document (templating/other word) process.

Templatize is sometimes used in the computer industry, to refer to the process of creating a template from some example.

Modeling (in the sense of creating a model or template) should come close.

dictionary.com:

model verb (used without object), modeled, modeling or (especially British) modelled, modelling.
22. to make models