In this paper we use Heegaard Floer link homology to determine the dual
Thurston polytope for pretzel links of the form P(-2r1-1,
2q1, -2q2, 2r2+1), ri,
qi in Z+. We apply this result to
determine the Thurston norms of spanning surfaces for the individual
link components, and we explicitly construct norm-realizing surfaces
for the homology classes which are vertices of the Thurston polytope.