The generator matrix

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

generates a code of length 58 over Z9 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+122x^111+270x^114+158x^117+92x^120+72x^123+8x^126+4x^135+2x^156

The gray image is a code over GF(3) with n=174, k=6 and d=111.
This code was found by Heurico 1.16 in 0.36 seconds.