Help with creating a certain 16x16 Matrix

Hi, I need help with creating the following matrix:
(I know that I probably could create it manually by writing A = [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; etc.], but this seems very unpractical. There must be a better way.)
The empty squares are just 'zeros' and the black squares are 'ones', for example the 5th row would be: [...;0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0; ...]
I'm grateful for any help.

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