The generator matrix

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

generates a code of length 19 over Z9 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+194x^24+306x^27+442x^30+870x^33+5496x^36+10080x^39+1080x^42+720x^45+330x^48+124x^51+38x^54+2x^57

The gray image is a code over GF(3) with n=57, k=9 and d=24.
This code was found by Heurico 1.16 in 4.08 seconds.