Process according to any of the preceding claims, wherein the reformer system comprises a heat-recuperating reformer unit, preferably comprising an outer reactor channel and an inner heat recovery channel, configured to exchange heat with the outer reactor channel, said heat recovery extending coaxially inside the outer reactor channel, the outer reactor channel containing a catalyst bed catalysing the reaction between the hydrocarbon and the water under formation of reformate, wherein the outer reactor channel has a feed inlet (30) via which the hydrocarbon and the water are fed through the catalyst bed and an outlet (31) for reformate, which inlet and outlet are located at opposite ends of the catalyst bed, wherein the reformate is fed from outlet (31) into the inner channel (32, 34), heat is transferred from the reformate flowing through the inner channel to the contents of the outer reactor channel, and reformate leaves the heat-recuperating reformer unit via a gas outlet (33).