The generator matrix

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

generates a code of length 30 over Z9 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+1038x^51+2412x^54+3678x^57+4668x^60+4804x^63+2478x^66+554x^69+46x^72+2x^78+2x^87

The gray image is a code over GF(3) with n=90, k=9 and d=51.
This code was found by Heurico 1.13 in 328 seconds.