The video you provided is too blurry...I could barely hear a few lyrics from it and found it for you.

Actually, the section that starts at 6 minutes is not a new song, it is together with the section that lasts over 5 minutes, but it suddenly changed to a different style. Sarah Brightman's Running, the part you're looking for will appear after about 1 minute and 45 seconds of listening.

/song/3484582 Link here