Moving a window to the bottom/top monitor with a shortcut

Is there a program that can move a window to the bottom/top monitor with a keyboard shortcut?

Sometimes I need to move a window to the bottom/top, in my case between monitors 3 and 4 and between monitors 5 and 6:

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I use BetterTouchTool to move a window to the left or right monitor:

But it doesn't have the option to move a window to the monitor up or down.

SizeUp has the same limitation: