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

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+266x^57+428x^60+486x^62+494x^63+2916x^64+972x^65+498x^66+356x^69+106x^72+24x^75+8x^78+4x^84+2x^90

The gray image is a code over GF(3) with n=288, k=8 and d=171.
This code was found by Heurico 1.16 in 5.51 seconds.