The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^28+576x^29+602x^30+1458x^31+2736x^32+2430x^33+5028x^34+8088x^35+7122x^36+14148x^37+16206x^38+14428x^39+21984x^40+21120x^41+14580x^42+16842x^43+13026x^44+5832x^45+5496x^46+3576x^47+880x^48+480x^49+282x^50+36x^51+14x^54+2x^57

The gray image is a code over GF(3) with n=60, k=11 and d=28.
This code was found by Heurico 1.13 in 28.1 seconds.