In a non-volatile storage system, a programming portion of a program-verify iteration has multiple programming pulses, and storage elements along a word line are selected for programming according to a pattern. Unselected storage elements are grouped to benefit from channel-to-channel capacitive coupling from both primary and secondary neighbor storage elements. The coupling is helpful to boost channel regions of the unselected storage elements to a higher channel potential to prevent program disturb. Each selected storage element has a different relative position within its set. For example, during a first programming pulse, first, second and third storage elements are selected in first, second and third sets, respectively. During a second programming pulse, second, third and first storage elements are selected in the first, second and third sets, respectively. During a third programming pulse, third, first and second storage elements are selected in the first, second and third sets, respectively.