  Let $Q^{+}(2n-1,2)$ be a non-degenerate hyperbolic quadric of $PG(2n-1,2)$.
Let $NO^{+}(2n,2)$ be the tangent graph, whose vertices are the points of
$PG(2n-1,2) \setminus Q^{+}(2n-1,2)$ and two vertices $u,~v$ are adjacent if
the line joining $u$ and $v$ is tangent to $Q^{+}(2n-1,2)$. Then
$NO^{+}(2n-1,q)$ is a strongly regular graph. Let $\mathcal{V}^{4}_{2}$ be the
\textit{Veronese surface} in $PG(5,q)$, and $\mathcal{M}^{3}_{4}$ its
\textit{secant variety}. When $q=2$, $|Q^{+}(5,2)|=|\mathcal{M}^{3}_{4}|=35$.
In this paper we define the graph $N\mathcal{M}^{3}_{4}$, with 28 vertices in
$PG(5,2)\setminus\mathcal{M}^{3}_{4}$ and with the analogue incidence rule of
the tangent graph. Such graph is isomorphic to $NO^{+}(6,2)$.
