Adobe Flash Player 10.0.2.26 is not the latest version of the utility and you can't download it because it has been replaced by a newer version. The latest version of the plugin is Adobe Flash Player 22.214.171.124 and you can acquire it from the official web page. Click the yellow Install now button, save the file to your PC, close your browser and install it following the on-screen instructions.
If you need the latest version of Adobe Flash Player Standalone, you can find an official download link on Software Informer review page of the product. The utility allows you to play all major Flash format files.