The generator matrix

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

generates a code of length 20 over Z9 who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+180x^31+324x^32+406x^33+756x^34+930x^35+894x^36+1362x^37+1716x^38+1340x^39+2346x^40+2556x^41+1620x^42+1908x^43+1410x^44+752x^45+708x^46+354x^47+76x^48+30x^49+8x^51+6x^57

The gray image is a code over GF(3) with n=60, k=9 and d=31.
This code was found by Heurico 1.16 in 21.8 seconds.