You must finish a clean lap on Fuji GP with "Storm" weather conditions in under 2 minutes. For the "clean" requirement, it is important to stay on the road and not to ram into anything. Enable all authenticity options and HUD options, except for braking assistance. This will make handling a lot easier and display a line on the road that shows you when to slow down. Go to Quickplay mode and set the following options:

Car: "Formula X" from manufacturer SMS.
Track: Fuji GP
Weather: Storm
Opponents: 0

Accept to start the race. In the tuning options, leave everything at the default values. It will be raining with a lot of water on the road, making handling a bit trickier. Your main objective is to make it without driving off the road and without ramming into anything. If you mess up, you can restart right away. This is not too difficult since the Formula X is very fast. On the first lap, you will start slow, but at the end of the lap you can drive through the goal at full speed to save a few seconds for the second lap.