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

generates a code of length 89 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+60x^174+36x^175+90x^176+148x^177+1548x^178+36x^179+194x^180+36x^181+36x^182+2x^267

The gray image is a code over GF(3) with n=801, k=7 and d=522.
This code was found by Heurico 1.16 in 0.331 seconds.