  We study nodal quintic surfaces with an even set of 16 nodes as analogues of
singular Kummer surfaces. The interpretation of the natural double cover of an
even 16-nodal quintic as a certain Fano variety of lines could be viewed as a
replacement for the additive structure of the cover of a singular Kummer
surface by its associated abelian surface. Most of the results in this article
can be seen as refinements of known facts and our arguments rely heavily on
techniques developed by Beauville, Murre, and Voisin. Results due to Izadi and
Shen are particularly close to some of the statements. In this sense, the text
is mostly expository (but with complete proofs), although our arguments often
differ substantially from the original sources.
