Let \(\rm \vec{a}=2 \hat{i}-\hat{j}+3 \hat{k}\), \(\rm \vec{b}=3 \hat{i}-5 \hat{j}+\hat{k}\) and \(\rm \vec{c}\) be a vector such that \(\vec{\mathrm{a}} \times \vec{\mathrm{c}}=\vec{\mathrm{c}} \times \vec{\mathrm{b}} \) and \((\vec{\mathrm{a}}+\vec{\mathrm{c}}) \cdot(\vec{\mathrm{b}}+\vec{\mathrm{c}})=168\). Then the maximum value of \(\rm |\vec{c}|^{2}\) is :