The generator matrix

 1  0  1  1  1  1  1 X+6  1  1 2X  1  1  1  0  1  1 2X  1  1  1  0  1 X+6  1  1  1 2X X+6  0  1 X+6
 0  1 2X+7  8 X+6 X+1 X+5  1 2X+8 2X  1  7  0 2X+7  1  8 X+6  1 2X+8 2X X+5  1 X+1  1  7 2X+7 X+5  1  1  1 2X+7  1
 0  0  6  0  0  0  6  6  3  3  6  6  6  3  0  3  6  0  0  3  0  3  3  0  3  6  6  6  3  3  6  0
 0  0  0  3  0  3  6  3  3  6  0  3  6  6  0  3  0  6  6  6  6  6  0  6  0  3  3  6  3  3  6  0
 0  0  0  0  6  6  3  0  3  6  6  3  6  0  6  6  6  0  0  3  3  6  0  3  6  6  0  6  0  6  0  0

generates a code of length 32 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+72x^56+182x^57+180x^58+522x^59+1368x^60+720x^61+1386x^62+4744x^63+1458x^64+1872x^65+4844x^66+1008x^67+990x^68+196x^69+36x^70+18x^71+64x^72+6x^75+2x^78+4x^81+8x^84+2x^90

The gray image is a code over GF(3) with n=288, k=9 and d=168.
This code was found by Heurico 1.16 in 47 seconds.