No guarantees, but you may have a better chance downloading 10130 ISO file and use it to install.
http://windows.microsoft.com/en-us/windows/preview-iso-update-1504
Once downloaded you can choose one of the followings to install :
1. Burn the ISO file to a bootable DVD or USB with at least 4 GB > use it to do a Clean Install.
How to burn an ISO file :
https://www.microsoft.com/en-us/download/windows-usb-dvd-download-tool
2. Go to the folder where the downloaded ISO file is > right click at it > click Mount > click Setup.exe
Install will start. At one stage you will be asked if you want to keep the personal files and settings or keep
nothing. It's your choice.
In addition to previously posted suggestions, you can refer this article and try the steps mentioned there:
http://windows.microsoft.com/en-IN/windows-8/windows-update-error-0x80240016
Hope this helps, Good luck :)