During a repositioning flight, the airplane encountered winds aloft that were higher than forecasted. The pilot reported that 25 minutes into the flight the left engine stopped producing power due to fuel exhaustion. The pilot secured the engine and continued towards the closest airport. Approximately 8 to 9 minutes later, the right engine stopped producing power due to fuel exhaustion. During a forced landing to a field, the right wing was substantially damaged. There were no mechanical anomalies that would have precluded normal operation.