A method is disclosed for producing a synthetic fuel, especially diesel fuel and in addition gasoline, liquefied petroleum gas and heating gas from a gas mixture comprising an oxygenate wherein the oxygenate is methanol and/or dimethyl ether and/or another oxygenate, through a series of steps, including olefin-formation, oligomerization of the olefins, and several separation steps and recycling steps, in particular the recycling of a stream of saturated hydrocarbons following the oligomerization of olefins back to the olefin-forming stage, to obtain the diesel fuel and the other synthetic fuels in high yield.