Try to delete the task and re-create it once again. Be sure to only change the options that I mentioned above. If you are running on a battery powered laptop, you may want to see the Power section under the Conditions tab also. There's also one other thing I noticed, when you choose Run task every 10 minutes, to the right of that, set the option to Indefinitely (or else it might quit working in 1 day).
Depending on the program, you might need to experiment with the last option on the Settings tab. Where it says "Do not start a new instance". Which program you are running every 10 minutes, and why? More info may help.
If you have it set for 10 minutes, it won't run right at startup. It will start running 10 minutes after boot. So what you should do is place it in your Startup start menu folder to run it when Windows boots. Then let the Task run it every 10 minutes afterwards.
Your Startup start menu folder can be accessed by pressing Win+R to open the Run dialog and pasting the following in:
"%userprofile%\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\Startup"
Be sure to include the quotes. Then press OK to open the folder. Create a shortcut to the program there.