Distal higher rank lattice actions on surfaces

Let $\mathrm{\Gamma }$ be a lattice in $\mathrm{S}\mathrm{L}(n,\mathbb{R})$ with $n\ge 3$ and $\mathcal{S}$ be a closed surface. Then $\mathrm{\Gamma }$ has no distal minimal action on $\mathcal{S}$.