The generator matrix

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

generates a code of length 19 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+28x^27+94x^30+108x^33+162x^34+116x^36+648x^37+124x^39+648x^40+96x^42+98x^45+52x^48+12x^51

The gray image is a code over GF(3) with n=57, k=7 and d=27.
This code was found by Heurico 1.16 in 0.0227 seconds.