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

generates a code of length 57 over Z9 who´s minimum homogenous weight is 109.

Homogenous weight enumerator: w(x)=1x^0+36x^109+66x^110+240x^111+48x^112+42x^113+28x^114+48x^115+18x^117+42x^119+114x^120+24x^121+12x^122+6x^124+2x^132+2x^144

The gray image is a code over GF(3) with n=171, k=6 and d=109.
This code was found by Heurico 1.16 in 13.2 seconds.