Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equations
\( x + 2y + 3z = \alpha \)
\( 4x + 5y + 6z = \beta \)
\( 7x + 8y + 9z = \gamma - 1 \)
is consistent. Let \( |M| \) represent the determinant of the matrix
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 _______.
