  It was shown recently that the heart of a twin cotorsion pair on an
extriangulated category is semi-abelian. In this article, we consider a special
kind of hearts of twin cotorsion pairs induced by $d$-cluster tilting
subcategories in extriangulated categories. We give a necessary and sufficient
condition for such hearts to be abelian. In particular, we also can see that
such hearts are hereditary. As an application, this generalizes the work by Liu
in an exact case, thereby providing new insights in a triangulated case.
