well, i know that the green lacewings in florida have eggs that look like that exactly.
i'm adding a link. i've had the ones that are kind of in a line and also the ones in a circular pattern. i was told that one was the green and the other was the brown, but i'm sure there are lots of species (or colors).
In the Order Neuroptera, the only Families that have clubbed antennae that I know of are Owlflies (Ascalaphidae) and Antlions (Myrmeleontidae). There are Families of green and brown Lacewings, (Chrysopidae and Hemerobiidae) and a few other less common Lacewing Families, but they don't have clubbed antennae.