The generator matrix

 1  0  0  0  1  1  1  1  0  1  1  3  3  1  1  1  1  1  1  1  1  1  1  6  6  3  3  1  1  1  1  0
 0  1  0  0  0  1  6  8  1  4  5  1  1  6  0  7  4  7  2  8  6  6  5  1  1  1  1  1  6  0  5  1
 0  0  1  0  0  8  7  8  6  3  7  7  7  1  2  2  0  1  8  4  0  1  3  7  8  5  2  1  8  5  6  0
 0  0  0  1  1  4  5  6  7  5  0  8  3  7  3  8  1  1  2  8  2  6  4  4  8  3  4  0  4  6  5  2
 0  0  0  0  6  6  3  0  6  6  6  0  3  0  3  0  3  3  3  6  0  6  0  6  3  0  3  3  3  6  6  6

generates a code of length 32 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+578x^54+2066x^57+3308x^60+4218x^63+4730x^66+3484x^69+1170x^72+110x^75+10x^78+6x^84+2x^87

The gray image is a code over GF(3) with n=96, k=9 and d=54.
This code was found by Heurico 1.16 in 2.77 seconds.