This airport is roughly 26.4 Miles from Zipolite but a taxi or bus ride from here will take just an hour or two.
Airport Website: http://www.asur.com.mx/
Airport Address: Carretera Costera Pinotepa, Salina Cruz - Santiago Pinotepa Nacional Km. 237, El Zapote, 70980 Santa MarĂa Huatulco, Oax., Mexico
Very few flights fly direct to (HUX) so you might want to plan a trip to Mexico City as your connecting flight.
The bus ride from the airport is roughly an hour and a half.
The taxi ride from the airport is roughly an hour.