The generator matrix

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

generates a code of length 27 over Z9 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+794x^45+2412x^48+3740x^51+5040x^54+4872x^57+2414x^60+394x^63+6x^66+2x^69+8x^72

The gray image is a code over GF(3) with n=81, k=9 and d=45.
This code was found by Heurico 1.13 in 12.8 seconds.