Hi Rasmus, I can suggest five things
1: Check the carb floats are not leaking, Hold them with pliers in a container of hot water, watch out for bubbles (be careful not to bend the tang that operates on the float needle valve)
2: Check the float height is correctly set to 23mm
3: Using a good magnifying glass and a small light source (such as on a mobile phone) have a look down the pilot air passage and verify that the air jet is clean, this is often overlooked, if you use a compressed air line you should be able to blow through this to find air comes out where the emulsion tube (needle jet) screws in to the carb body, also check the very small holes in the side of the emulsion tube are clear.
4: Try again with the air filter removed, if it improves clean the filter
5: Carbon build up around the exhaust port, scrape clean if necessary, Best done with the head off and a rag covering the piston crown.