This would be impossible - since the mean of the three integers would have to be an integer, and if you divide -56 by 3, you do not get an integer.
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There is no set of three consecutive integers whose sum is 71.
The sum of three consecutive integers is -72
-31, -32, -33
The two consecutive negative odd integers having 74 as the sum of their squares are -5 and -7.
The three integers are 187, 188 and 189.