The generator matrix

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

generates a code of length 24 over Z9 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+66x^45+126x^48+18x^51+32x^54

The gray image is a code over GF(3) with n=72, k=5 and d=45.
This code was found by Heurico 1.16 in 0.00143 seconds.