The generator matrix

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

generates a code of length 20 over Z9 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+168x^29+246x^30+330x^31+1080x^32+1234x^33+1092x^34+3114x^35+3038x^36+2604x^37+6684x^38+5930x^39+4572x^40+8604x^41+6118x^42+3390x^43+5202x^44+2672x^45+1014x^46+1302x^47+428x^48+120x^49+90x^50+10x^51+4x^54+2x^57

The gray image is a code over GF(3) with n=60, k=10 and d=29.
This code was found by Heurico 1.16 in 9.32 seconds.