B757 First Officer reported a Trailing Edge Flap Asymmetry ECAM on climb out. Flight crew continued to destination airport and landed.

Narrative

We received a TE FLAP ASYM on climb out upon selecting flaps to 1. I engaged the autopilot and took the comms while the Captain referenced the QRH (Quick Reference Handbook). We opened the speed window and set 190 KIAS to give us a greater margin to maximum flap speed. The Captain pushed the event record button. We had a clearance to 15;000 feet and we asked ATC to keep us at that altitude while we completed the QRH. We confirmed the flap handle was fully in the decent. The L and R flap indicators were asymmetrical and indicating between 1 and 5 on the Flap Position Indicator. We notified Maintenance and Operations through ACARS of the situation and our intentions to continue to ZZZ and requested priority handling with approach control. We brought the jump seater up front for additional support. We [requested priority handling] with Center prior to switching to approach control in order to cause minimal disruption to the arrival flow into ZZZ. We asked for vectors off the RNAV arrival to simplify approach planning. We calculated a VREF 30+40 speed of 164 knots and confirmed adequate landing performance for Runway XL. The Captain took Pilot Flying duties and transferred Pilot Monitoring duties to me. Touchdown and roll out were uneventful and we cleared the runway at B1. CFR (Crash Fire Rescue) examined the aircraft and after their release we taxied to our gate.