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  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  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  0

generates a code of length 57 over Z9 who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+60x^114+12x^117+6x^120+2x^135

The gray image is a code over GF(3) with n=171, k=4 and d=114.
This code was found by Heurico 1.16 in 0.0236 seconds.