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

generates a code of length 56 over Z9 who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+54x^112+16x^114+8x^117+2x^132

The gray image is a code over GF(3) with n=168, k=4 and d=112.
This code was found by Heurico 1.16 in 0.0156 seconds.