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  3  3  1  1  3  1
 0  3  0  0  0  0  0  0  0  0  3  6  6  3  3  3  3  3  3  0  3  3  0  6  3  0  6  3  3  6
 0  0  3  0  0  0  0  3  6  6  6  0  0  6  3  6  6  0  6  6  6  3  3  3  6  3  6  3  3  0
 0  0  0  3  0  0  3  6  0  6  0  0  6  3  3  6  3  0  0  3  0  3  3  3  3  6  6  0  0  6
 0  0  0  0  3  0  6  6  3  0  6  6  6  0  6  6  3  0  3  0  0  6  6  3  6  3  6  3  3  3
 0  0  0  0  0  3  6  6  6  6  6  6  3  6  3  3  0  6  6  6  3  0  6  0  0  6  3  0  3  6

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

Homogenous weight enumerator: w(x)=1x^0+156x^51+178x^54+324x^57+834x^60+504x^63+132x^69+42x^72+12x^78+4x^81

The gray image is a code over GF(3) with n=90, k=7 and d=51.
This code was found by Heurico 1.16 in 21.1 seconds.