TheGd nucleus was studied by p-ray spectroscopy following the (n, 2n) reaction at an energy of 26 MeV. We identified the double-phonon K = 4+ pp vibrational band in this nucleus at 1645.8 keV. Also, we present the systematics of possible K = 4+ double-phonon vibrational bands in the deformed rare-earth region of nuclei.PACS number(s): 21.10. Re, 23.20.En, 23.20.Lv, 27.70. +q