I don't know how, but I've made only one weather tile for specific place disappear and there's no option to pin it to start menu again.
If you want to pin or repin an app then click or tap the “All apps” button, long-press or right-click the app you want, and select “Pin to Start”.
I've just found the solution.
Uninstall Weather app through PowerShell by typing this:
Get-AppxPackage bingweather | Remove-AppxPackage
- Go to Windows Store and install MSN Weather app.