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  0  X  X  0  X  X  3  X  X  3  X  X  X  X  X  X  X  X  X  X  0  3  1  1  1  3  1  1  1  1  1
 0  X 2X  0 X+6 2X  3 X+6 2X+3  3 X+3 2X+3  3 X+3 2X  0  X 2X+3  6 X+6 2X+6  6 X+3 2X+6  6  X 2X+6  0 X+6 2X  0 X+6 2X  3 X+3 2X+3  3 X+3 2X+3  3 X+6 2X  0 X+3 2X+3  6  6  X  X 2X+6 2X+6  6  X 2X+6 X+6 2X  X X+6 2X  X X+3 2X+3  X X+3 2X+3  X  0  3  6 X+6 X+3 2X+3 2X  0  3  6  X  X  0  3  6  0 X+6 X+3  X X+6 X+3
 0  0  3  3  6  6  6  3  0  3  0  3  0  3  0  6  6  6  0  0  3  3  6  6  6  3  0  0  6  0  6  3  3  3  0  6  6  3  3  0  0  6  3  6  0  0  3  6  3  0  6  6  0  3  6  0  3  3  3  0  0  6  6  3  3  0  6  6  6  0  6  0  6  3  3  3  6  3  0  0  0  3  6  6  3  3  0

generates a code of length 87 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+20x^171+342x^172+28x^174+234x^175+10x^177+18x^178+6x^180+54x^181+8x^183+8x^186

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 0.364 seconds.