On Deza grahps with 14, 15 and 16 vertices

We consider the following generalization of strongly regular graphs. A graph $G$ is a Deza graph if it is regular and the number of common neighbors of two distinct vertices takes on one of two values (not necessarily depending on the adjacency of the two vertices). We list all Deza graphs with diameter two which are not strongly regular and have 14, 15 or 16 vertices.