Non-volatile storage devices and techniques for operating non-volatile storage are described herein. One embodiment includes accessing “n” pages of data to be programmed into a group of non-volatile storage elements. The “n” pages are mapped to a data state for each of the non-volatile storage elements based on a coding scheme that evenly distributes read errors across the “n” pages of data. Each of the non-volatile storage elements in the group are programmed to a threshold voltage range based on the data states to which the plurality of pages have been mapped. The programming may include programming the “n” pages simultaneously. In one embodiment, mapping the plurality of pages is based on a coding scheme that distributes a significant failure mode (for example, program disturb errors) to a first of the pages and a significant failure mode (for example, data retention errors) to a second of the pages.