We investigate the proposal that primary cosmic rays of energy above the Gr
eisen-Zatsepin-Kuzmin cutoff are exotic massive strongly interacting partic
les (uhecrons). We study the properties of air showers produced by uhecrons
and find that masses in excess of about 50 GeV are inconsistent with the h
ighest energy event observed. We also estimate that with sufficient statist
ics a uhecron of mass as low as 10 GeV may be distinguished from a proton.