The generator matrix

 1  0  0  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  0  1  1  3
 0  1  0  6  1  7  8  0  2  1  6  4  5  1  2  4  3  0  3  8  7  5  5  3  6  8  1  0  2  1
 0  0  1  7  1  6  2  8  6  7  4  0  5  4  7  8  1  3  1  3  1  2  4  8  2  6  3  2  3  3

generates a code of length 30 over Z9 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+162x^56+102x^57+156x^59+66x^60+60x^62+36x^63+72x^65+34x^66+24x^68+12x^71+2x^72+2x^75

The gray image is a code over GF(3) with n=90, k=6 and d=56.
This code was found by Heurico 1.16 in 0.0114 seconds.