with defining matrix of size $(t+1)\times (t+1)$ $$Y=\left(\begin{array}{cccccc} 
x_{0,0} & x_{0,1} & x_{0,2} & \cdots & \cdots & x_{0,t} \\ 
x_{0,1} & x_{0,2} & & & x_{0,t} & x_{1,t} \\
x_{0,2} & & & x_{0,t} & x_{1,t} & \vdots \\
\vdots & & \adots & \adots & & \vdots \\
\vdots & x_{0,t} & x_{1,t} & & & x_{t-1,t} \\
x_{0,t} & x_{1,t} & \cdots & \cdots & x_{t-1,t} & x_{t,t} 
\end{array}\right).$$ We obtain this section intersecting with the hyperplanes $x_{i,j}-x_{0,i+j}$ for $i+j\leq t$ and $i\geq 1, j\leq t-1$ and $x_{i,j}-x_{i+j-t,t}$ for $i+j>t$ and $i\geq 1, j\leq t-1$. We take ${ {{t} \choose {2}} }$ hyperplane sections by hyperplanes that meet $V$ properly. So we obtain a scheme $C\subseteq{\mathbb{P}}^{2t}$ of codimension $3$. $C$ is good determinantal, with defining matrix $$U=\left(\begin{array}{cccccccc} 
x_{0,0} & x_{0,1} & x_{0,2} & \cdots & \cdots & x_{0,t-1} & x_{0,t} & x_{1,t} \\ 
x_{0,1} & x_{0,2} & & & x_{0,t-1} & x_{0,t} & x_{1,t} & x_{2,t} \\
x_{0,2} & & & x_{0,t-1} & x_{0,t} & x_{1,t} & x_{2,t} & \vdots \\
\vdots & & \adots & \adots & \adots & \adots & & \vdots \\
\vdots & x_{0,t-1} & x_{0,t} & x_{1,t} & x_{2,t} & & & 