Let S be the set of values of $\mathrm{\lambda }$ for which the system of equations 
$$\begin{gathered} \begin{array}{l}6\mathrm{\lambda x}-3\mathrm{y}+3\mathrm{z}=4{\mathrm{\lambda }}^2,\\ 2\mathrm{x}+6\mathrm{\lambda y}+4\mathrm{z}=1, \\ 3\mathrm{x}+2\mathrm{y}+3\mathrm{\lambda z}=\mathrm{\lambda }\text{ has no solution. Then }12\sum _{\mathrm{\lambda }\in \mathrm{S}} \left|\mathrm{\lambda }\right|\text{ is equal to }\end{array} \end{gathered}$$