The generator matrix

 1  0  0  0  0  1  1  1  1  1  1  6  1  1  1  0  1  1  3  1
 0  1  0  0  0  0  7  1  3  5  2  1  8  1  5  6  7  5  1  6
 0  0  1  0  0  0  5  1  7  3  8  7  4  3  7  3  0  8  8  5
 0  0  0  1  0  1  5  3  2  6  4  5  4  6  3  1  1  1  6  2
 0  0  0  0  1  8  5  6  1  4  3  5  2  4  3  4  0  2  8  2
 0  0  0  0  0  6  6  6  6  6  6  3  0  3  0  6  3  3  6  0

generates a code of length 20 over Z9 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+288x^28+282x^29+910x^30+1608x^31+1638x^32+3466x^33+5622x^34+6090x^35+9176x^36+13704x^37+14004x^38+17752x^39+21090x^40+17898x^41+18628x^42+16464x^43+10488x^44+7502x^45+6042x^46+2022x^47+1570x^48+792x^49+66x^50+28x^51+16x^54

The gray image is a code over GF(3) with n=60, k=11 and d=28.
This code was found by Heurico 1.16 in 87.6 seconds.