  We report on a study of the superconducting order parameter in
Fe(Te$_{1-x}$Se$_{x}$) thin films (with different Se contents: x=0.3, 0.4, 0.5)
by means of point-contact Andreev-reflection spectroscopy (PCARS). The PCARS
spectra show reproducible evidence of multiple structures, namely two clear
conductance maxima associated to a superconducting gap of amplitude $\Delta_E
\simeq 2.75 k_B T_c$ and additional shoulders at higher energy that, as we
show, are the signature of the strong interaction of charge carriers with a
bosonic mode whose characteristic energy coincides with the spin-resonance
energy. The details of some PCARS spectra at low energy suggest the presence of
a smaller and not easily discernible gap of amplitude $\Delta_H \simeq 1.75 k_B
T_c$. The existence of this gap and its amplitude are confirmed by PCARS
measurements in Fe(Te$_{1-x}$Se$_{x}$) single crystals. The values of the two
gaps $\Delta_E$ and $\Delta_H$, once plotted as a function of the local
critical temperature $T_c^A$, turn out to be in perfect agreement with the
results obtained by various experimental techniques reported in literature.
