The generator matrix

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

generates a code of length 43 over Z9 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+138x^81+244x^84+172x^87+80x^90+80x^93+8x^96+4x^99+2x^126

The gray image is a code over GF(3) with n=129, k=6 and d=81.
This code was found by Heurico 1.16 in 0.018 seconds.