On the \mathrm{H}_{4} configuration of points in \mathbb{P}^3

In the present note we give an example of a finite set of points in \mathbb{P}^{3} which has the so-called geproci property, but it is neither a grid nor a half-grid. This answers a question on the existence of such sets rised by Pokora, Szemberg and Szpond [arXiv:2010.08863].