A new EUO-structural-type zeolite that comprises at least one tetravalent element X that is selected from among silicon, tin, titanium and germanium and optionally at least one trivalent element T that is selected from among aluminum, iron, boron, indium and gallium is described. This new zeolite is characterized in that it contains, in its crude synthesis form, the nitrogen-containing organic cation of formula N,N-dimethyl-N,N-di(3,3-dimethylbutyl)ammonium. A method for the preparation of this zeolite is also described.