In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet X'(1 + 2). We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).