The generator matrix

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

generates a code of length 31 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+108x^59+198x^60+348x^63+18x^66+54x^68+2x^81

The gray image is a code over GF(3) with n=279, k=6 and d=177.
This code was found by Heurico 1.16 in 0.408 seconds.