The generator matrix

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

generates a code of length 31 over Z9 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+30x^54+58x^57+220x^60+354x^63+14x^66+8x^69+18x^72+18x^75+6x^78+2x^90

The gray image is a code over GF(3) with n=93, k=6 and d=54.
This code was found by Heurico 1.16 in 0.00914 seconds.