A new target option for energy applications of heavy ion inertial fusion is analysed. It has a spherical hohlraum and is irradiated by ion beams along the directions of the zeros of the fourth Legendre polynomial P4. The target performance is simulated with a 1-D three temperature hydrodynamics code and with a 2-D view factor code. Its efficiency is shown to depend crucially on the structure of the hohlraum wall, which, simultaneously, plays the role of the X ray converter. For an optimized pulse power profile, a 1-D energy gain of G = 78 is calculated with an input energy of Edr = 6.1 MJ in the form of 5 GeV 209Bi ions focused on the target sphere with an outer radius of R = 6.37 mm.