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

generates a code of length 88 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+22x^174+156x^175+486x^176+24x^177+20x^180+8x^183+6x^186+6x^202

The gray image is a code over GF(3) with n=792, k=6 and d=522.
This code was found by Heurico 1.16 in 0.29 seconds.