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The edison-20160606.patch can only be installed from a linux host and you need to build the image from source. You can find the proper guide here: https://www.intel.com/content/www/us/en/support/articles/000005616/boards-and-kits.html
Also, this patch won't make your board retain the sketches after board reboot or power cycle.
The patch allows the image to be built from source. It changes where the packages are being fetched from to avoid any broken links.
There’s a workaround that you can try that will enable the Arduino sketch to be run after reboot. You can find it here https://communities.intel.com/message/319509#319509 .
Hope this helps.