Use knot theory package?

Dear All,

How can I write a Mathematica file which uses the Mathematica package “knottheory” and creates a list of many (as many as possible) different non-alternating knots and links (rather minimal knot- and linkprojections) with at least 12 crossings (better: 16 or 18 crossings or even more) which satisfy: Each component of a link has as many positive crossings as negative crossings.

Best wishes,
Stephan Rosebrock

Cross posted: for follow-ups see [Dmug] knot theory package in English in the german speaking Mathematica User Group (DMUG).