I have a somewhat similar intersection except there are two left turn lanes, two lanes going straight and two right turn lanes so I have to cross four lanes to get to one of the left turn lanes. I have about 500m or so before the light so I generally wait for a gap in traffic and then move over. If for some reason I can't get across I'll wait until they are forced to stop at the light and then I weave through the cars. We have a left turn arrow so it's safe to turn once the signal is green.