Let $$g(x) = -18 x^{6}-141 x^{5}+163 x^{4}+1873 x^{3}-3155 x^{2}-986 x+2664 .$$ Given that $-6+i$ is a root of $g(x)$ and that $g(x)$ has at least one rational root, list all the real roots of $g(x)$.

Real roots:

Note: if the roots are 7 and -4 where 7 is a root of multiplicity 3, and -4 is a root of multiplicity 1, then the answer would be 7, 7, 7, -4.