The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^29+576x^30+222x^31+582x^32+1960x^33+1050x^34+1458x^35+5138x^36+2760x^37+3480x^38+9840x^39+4584x^40+4200x^41+9880x^42+3486x^43+2700x^44+4436x^45+1020x^46+618x^47+924x^48+24x^50+40x^51+10x^54

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 9.04 seconds.