The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+18x^111+198x^114+22x^117+2x^135+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 0.0258 seconds.