There is no set of six consecutive integers for -4.
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The six consecutive integers greater than -7 are: -7, -6, -5, -4, -3, -2
There is not such set of integers.
If you mean six consecutive INTEGERS, then the answer is Yes.
26 is the largest
There is a set of four consecutive even integers whose sum is four. The set is: -2, 0, 2 and 4.