We investigate the properties of an interfering optical coherence lattice, which is generated by passing an optical coherence lattice through a wavefront-folding interferometer. Two symmetrical lattices are formed in the far-field. Changing the phase difference between the two optical paths causes the interference pattern, and thus the far-field intensity profile to change. In addition, we have shown that in the non-uniform case, the intensity pattern can also be changed by varying the weight distribution parameter. Our results may be applied in free-space communications and periodic trapping of micro-particles.