Sounds more like a display than an exercise....
Apparently he was flying as “aggressor” force
Several companies out there;
Civil
A number of civil organizations operate or have operated Hunters for use as aerial targets and for threat simulation under contract with the military. Other Hunters are owned and operated for public display and demonstration:
Airborne Tactical Advantage Company (ATAC)
The American company ATAC, based at Williamsburg International Airport in Newport News, Virginia, operates 14 former Swiss F.58s on United States government contracts.
Apache Aviation
Contracted by the French Navy, Apache is based at Istres in Provence, France, with frequent deployments to Lorient and Landivisiau in Brittany, other locations as required. Operates two single-sweater and one two-seat Hunters. Operations are associated with Lortie Aviation.
Delta Jets
Operated between 1995 and 2010 from Kemble Airport near Cirencester, England with three operational Hunters. The company went into liquidation in 2010, Hunter G-FFOX (WV318) is now operated by the Hunter Flight academy.
Dutch Hawker Hunter Foundation
Operates a Hunter T.8C two-seater in RNLAF markings and a single-seat Hunter F.6A in Dutch markings, based at Leeuwarden Air Base in the Netherlands.
Embraer Operates an ex-Chilean Air Force Hunter T.72 as a flight test chase plane.
Hawker Hunter Aviation
Based at RAF Scampton, it operates a fleet of 12 Mk 58 and three two-seaters (T.7 and T.8), as well as other aircraft to provide high speed aerial threat simulation, mission support training and trials support services.
Hunter Flight Academy.
Operates a Hunter T.7a G-FFOX (WV318) callsign “FireFox” – a two-seat Hunter in 111sqn “Black Arrows” colours and markings. The Hunter T.7a is based at North Weald Airfield in the UK.
Hunter Flying Ltd. (now Horizon Aircraft Services Ltd.)
Based at MOD St Athan in Wales, Hunter Flying Ltd maintains over 15 privately owned examples of the Hunter.
Lortie Aviation
A Canadian company (formerly known as Northern Lights Combat Air Support) is based in Quebec City and owns 21 Hunters (mainly ex-Swiss F.58 variants) that are leased out for military training duties.
Thunder City
Three flyable Hunters are based at Thunder City at Cape Town International Airport in South Africa. Four (of the seven) Hunters owned by Thunder City were up for auction in April 2013.