I think there's a bug in the default KONT airport that must have been introduced recently, possibly with SU11, because even on the World Map, the airport as no airplane parking spots, just 4 Fuel spots.
Note that, you might be mislead assuming the parking spots are there, if you have the GSX Jetway replacement files enabled for it. That's because the default airport DID had parking spots before, so the GSX replacement jetway file for it will allow you to see the parking spots on the map.
However, if you Disable KONT from GSX Jetway replacement, you'll see just the default data, which shows there are no usable airplane parking spots. GSX doesn't list the Fuel spots there, so in fact it's correct saying there are no parking spots there.