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

generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+216x^177+1752x^180+216x^183+2x^270

The gray image is a code over GF(3) with n=810, k=7 and d=531.
This code was found by Heurico 1.16 in 0.345 seconds.