Alexander Kartveli Batumi International Airport (IATA: BUS, ICAO: UGSB) is an airport located 2 km south of Batumi, a city on the Black Sea coast and capital of Adjara, an autonomous republic in southwest Georgia. The airport is 20 km northeast of Hopa, Turkey, and serves as a domestic and international airport for Georgia and northeastern Turkey.
The IATA is located 2km south of the Black Sea. 
It's definitely incorrect because it is located 2 km south of Batumi, not 2 km south of the the Black Sea itself. The city itself is probably more than 2 km long if it's large enough to be classified as a city, and the airport is further south of this. For my statement to be correct, Batumi would have to occupy a small sliver on the southern portion of the Black Sea coast in order for it to both be 2 km south of Batumi and 2 km south of the Black Sea. This is an absurd, completely unrealistic possibility. I think the system was wrong because it assumed "Black Sea", "Batumi", and "Black Sea coast" as all being one and the same.