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

generates a code of length 30 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+134x^54+108x^57+216x^60+234x^63+30x^72+6x^81

The gray image is a code over GF(3) with n=90, k=6 and d=54.
This code was found by Heurico 1.16 in 0.0976 seconds.