"Request 20 Miles Left & Right Of Track"

Due weather. Enroute from Mauritius to Dubai, traversing the inter-tropical convergence zone during sunset, there's about an hour spent picking your way between thunderstorms. Spectacular, but you can never really relax.

Legally you must remain clear of red weather radar returns, and no closer than 20 nautical miles downwind of an active thunderstorm cloud.

The A380 has "Auto-TCAS", where the aircraft automatically avoids an intruder aircraft. There is no reason why they can't develop "Auto-Avoid", where the aircraft will automatically skirt around the upwind side of an active cell, and then regain the flight planned track.