The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+32x^42+110x^45+92x^48+162x^50+86x^51+648x^53+104x^54+648x^56+94x^57+80x^60+72x^63+28x^66+18x^69+10x^72+2x^75

The gray image is a code over GF(3) with n=81, k=7 and d=42.
This code was found by Heurico 1.16 in 0.043 seconds.