Optimal gradient performance is arguably a pre-requisite to realize the full potential of ultrahigh field MRI. The values of using tailored gradient coils for brain imaging have been well acknowledged. Unfortunately, conventional head-only gradient coils have two major technical limitations, i.e. limited shoulder clearance and limited cooling capacity. A new design, coined “auto-rim” gradient coil, combined with a novel cooling method, named “outer-wall direct cooling”, is proposed to fundamentally solve these two technical problems. As a proof-of-concept, we have built a protype gradient coil capable of generating 20.2, 13.5 and 29.1 Gauss/cm/600 ampere current along X, Y and Z, respectively.