This seems impossible until you realize that you can get the two gems hanging over the spikes at the bottom right of the map without tilting it. Just jump toward them and quickly pull the stick back while in mid-air. You should land safely on the stones, at which point you're free to quickly grab the rest of the gems. You'll still have to avoid the remaining spikes and the two baddies, of course, but that shouldn't be too hard. With this method you should be able to complete the level in about 8 seconds.