The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+672x^39+2088x^42+4042x^45+5238x^48+5396x^51+1920x^54+300x^57+20x^60+4x^63+2x^69

The gray image is a code over GF(3) with n=72, k=9 and d=39.
This code was found by Heurico 1.16 in 5.39 seconds.