The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3
 0  3  0  3  0  3  6  6  6  0  0  3  3  3  3  0  6  6  6  0
 0  0  3  6  6  3  0  3  6  0  3  6  3  6  0  3  3  6  0  6

generates a code of length 20 over Z9 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+30x^38+10x^39+18x^41+12x^42+2x^45+6x^47+2x^48

The gray image is a code over GF(3) with n=60, k=4 and d=38.
This code was found by Heurico 1.16 in 0.00159 seconds.