The integers would be -3, -1, and 1.
In order to find these, we need to set the first as x, the second as x + 2 and the third would be x + 4. Now that we have that, we can calculate out using the parameters given.
3(first + second) = third - 13
3(x + x + 2) = x + 4 - 13
3(2x + 2) = x - 9
6x + 6 = x - 9
5x + 6 = -9
5x = -15
x = -3
Once you have the first one, you can easily find the other 3, since they are consecutive odd integers.