The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+80x^48+192x^51+238x^54+166x^57+12x^60+2x^63+22x^66+12x^69+2x^72+2x^75

The gray image is a code over GF(3) with n=81, k=6 and d=48.
This code was found by Heurico 1.16 in 0.833 seconds.