I spent forever trying to find a YouTube video that was precisely 16m18s, and when I finally did, the video ID included periodic elements and Roman numerals that broke my earlier rules, and I gave up. Fun game though!
Google that, including the quotes, replace the minutes and seconds with your given time, then look through the results and find a URL which fits the password criteria.
Every result should be a video with that duration. If it isn't, check your useragent. I noticed some weirdness with that.
Can you give an example? "replace the minute and seconds" is vague. Do you mean replace the words "minute" and "second"? Or just the numbers? Do you remove the brackets too?
I tried literally this and I just get videos of random length with various matches in the comments and descriptions. It completely ignores the double quotes here. I've even tried setting my user agent to Chrome on Windows without any change.