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
 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
 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
 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

generates a code of length 87 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+10x^171+156x^173+516x^174+18x^177+16x^180+6x^183+6x^200

The gray image is a code over GF(3) with n=783, k=6 and d=513.
This code was found by Heurico 1.16 in 0.277 seconds.