The 2D electron gas of a GaAlAS/GaAs heterojunction is confined to a small 2D granule by means of Schottky gates. Periodic conductance oscillations of tunneling via the 2D granule are observed as its average electron number is varied, a characteristic of Coulomb blockade. Adjustable tunnel barriers enable us to show that the minimum in conductance is limited by simultaneous co-tunneling of electrons through the input and output barriers.