The generator matrix

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

generates a code of length 58 over Z9 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+102x^112+156x^113+36x^114+150x^115+90x^116+12x^117+24x^118+42x^119+22x^120+6x^121+12x^122+6x^123+18x^124+12x^125+2x^126+6x^127+6x^128+2x^129+12x^130+6x^131+6x^133

The gray image is a code over GF(3) with n=174, k=6 and d=112.
This code was found by Heurico 1.16 in 0.0356 seconds.