An enumeration of double coronoids (polyhexes with two heles) is performed, both by hand and by computer. The numbers 15123 and 125760 for the systems with h = 17 and h = 18, respectively, are reported for the first time. Here h denotes the number of hexagons. The generated systems are classified in different ways.
In this connection the strata of corona hale constellations are defined, depending on the proximity of the holes. As appendix, a first enumeration of triple coronoids is reported
