  Excited states in the deformed nucleus $^{158}$Gd have been studied in the
(p,t) reaction by using the Munich Tandem and Q3D spectrograph. 30 new excited
0$^+$ states (three tentative) have been assigned up to the 4.3 MeV excitation
energy. The total number of 34 excited 0$^+$ states (four tentatively assigned)
in a deformed nucleus, close to a complete level scheme, offers a new
opportunity to test nuclear models and obtain more information on the structure
of these special states.
