The generator matrix

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

generates a code of length 23 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+102x^27+328x^30+546x^33+1144x^36+1910x^39+7128x^42+20892x^45+21030x^48+2628x^51+1808x^54+1010x^57+390x^60+110x^63+22x^66

The gray image is a code over GF(3) with n=69, k=10 and d=27.
This code was found by Heurico 1.16 in 12.8 seconds.