the first element in the list of list

[Ben Bush]

I have a lis:
[[1,3],[3,4],[5,6],[8,9],[14,0],[15,8]]
I want a code to test when the difference between the first element in
the list of list is equal to or larger than 6, then move the previous
lists to the end of the list. that is:
[[14,0],[15,8],[1,3],[3,4],[5,6],[8,9]]
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