Let $\alpha, \beta$ and $\gamma$ be real numbers such that the system of linear equations
$$
\begin{aligned}
& x+2 y+3 z=\alpha \\
& 4 x+5 y+6 z=\beta \\
& 7 x+8 y+9 z=\gamma-1
\end{aligned}
$$
is consistent. Let $|\mathrm{M}|$ represent the determinant of the matrix
$$
M=\left[\begin{array}{ccc}
\alpha & 2 & \gamma \\
\beta & 1 & 0 \\
-1 & 0 & 1
\end{array}\right]
$$
Let P be the plane containing all those ( $\alpha, \beta, \gamma$ ) for which the above system of linear equations is consistent, and $D$ be the square of the distance of the point $(0,1,0)$ from the plane $P$.
The value of D is $\_\_\_\_$ -
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