The generator matrix

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

generates a code of length 59 over Z9 who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+338x^111+578x^114+408x^117+332x^120+170x^123+174x^126+122x^129+44x^132+20x^135

The gray image is a code over GF(3) with n=177, k=7 and d=111.
This code was found by Heurico 1.16 in 0.0875 seconds.