There are daily and nightly bus routes from Airport to Maspalomas from Bus stop 1 (just outside Departures).
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Linea 66' - (towards Faro de Maspalomas) is the fastest connection running hourly round the clock lasting 34 mins. Your stop’s called Holiday World.
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Linea 90' - (towards Playa del Cura) also serves the way to Maspalomas taking 39 mins. This is mostly a nightly service running hourly from approx 20.20h to 05.38h. Your stop’s called 'Avenida Touroperador Neckermann'.