Should I fill up the web page when using grids

Hey there,
I’m using a 12 column grid on a web page which doesn’t fill up the whole screen (There’s padding on the edges of the screen so it gives the user’s eye “space to breath”).

I want to place an image that fills up the whole screen but I fear it may disrupt the grid layout. Should I place an image which fills up the whole screen or just the 12 columns.

Thank you,
All input and advice is extremely appreciated.