Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equation...

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Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equation
\[
\begin{array}{l}
x+2 y+3 z=\alpha \\
4 x+5 y+6 z=\beta \\
7 x+8 y+9 z=\gamma-1
\end{array}
\]
is consistent. Let \( |M| \) 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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