Let S be the set of values of λ, for which the system of equations 6 λ x-3 y+3 z=4 λ^2, 2 x+6 λ y+4 z=1, 3 x+2 y+3 λ z=λ has no solution. Then 12 Σ_λ…

Let S be the set of values of $\displaystyle \lambda$, for which the system of equations $$\begin{aligned} & 6 \lambda x-3 y+3 z=4 \lambda^2, \\ & 2 x+6 \lambda y+4 z=1, \end{aligned} $$ $\displaystyle 3 x+2 y+3 \lambda z=\lambda$ has no solution. Then $\displaystyle 12 \sum_{\lambda \in S}|\lambda|$ is equal to $\displaystyle \_\_\_\_$.