The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^45+216x^48+8x^54+2x^72

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 0.00171 seconds.