The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  1  1  1  3  1  1  3  1  1  1  3  1  1  3  3  3  1  0  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  3  0  0  3  3  3  6  0  3  6  0  3  6  6  6  0  3  0  3  3  0
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0  0  6  3  6  6  0  0  0  3  6  0  6  0  6  6  6  3  3  3  6
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6  3  0  0  0  3  6  6  0  3  6  0  3  3  0  0  0  3  3  3  3

generates a code of length 57 over Z9 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+132x^111+28x^114+18x^117+60x^120+2x^132+2x^144

The gray image is a code over GF(3) with n=171, k=5 and d=111.
This code was found by Heurico 1.16 in 2.24 seconds.