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

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

Homogenous weight enumerator: w(x)=1x^0+606x^54+2008x^57+3290x^60+4306x^63+4722x^66+3446x^69+1162x^72+120x^75+14x^78+8x^84

The gray image is a code over GF(3) with n=96, k=9 and d=54.
This code was found by Heurico 1.13 in 0.969 seconds.