  We have has performed the first measurement of the coherent $\psi$(2S)
photo-production cross section in ultra-peripheral Pb-Pb collisions at the LHC.
This charmonium excited state is reconstructed via the $\psi$(2S) $\rightarrow
l^{+}l^{-}$ and $\psi$(2S) $\rightarrow$ J/$\psi \pi^{+}\pi^{-}$ decays, where
the J/$\psi$ decays into two leptons. The analysis is based on an event sample
corresponding to an integrated luminosity of about 22 $\mu\rm{b}^{-1}$. The
cross section for coherent $\psi$(2S) production in the rapidity interval
$-0.9<y<0.9$ is $\mathrm{d}\sigma_{\psi{\rm(2S)}}^{\rm coh}/\mathrm{d}y
=0.83\pm 0.19\big(\mathrm{\rm{stat}+{\rm syst}}\big)$ mb. The $\psi$(2S) to
J/$\psi$ coherent cross section ratio is $0.34^{+0.08}_{-0.07}(\rm{stat}+{\rm
syst})$. The obtained results are compared to predictions from theoretical
models.
