The generator matrix

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

generates a code of length 24 over Z9 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+594x^39+2324x^42+3792x^45+5434x^48+5120x^51+2168x^54+232x^57+8x^60+6x^63+4x^66

The gray image is a code over GF(3) with n=72, k=9 and d=39.
This code was found by Heurico 1.13 in 2.91 seconds.