Airport elevation is 1277 or 390 meters. If they indeed got down to 396 meters at the 06:09:41 mark that's only 1299 feet. That implies they didn't make the transition to instruments successfully to establish the climb in IMC. Might have been trying to get the gear up (turbo RG 182) and then perhaps realized their attitude and altitude situation? At that point it appears they are already drifting off the correct climb track.
There's not much safety margin with 300/400 ft ceilings and rain & mist. Looks like they may have been behind the airplane almost immediately; tough to recover in those conditions I imagine.