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

generates a code of length 43 over Z9 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+54x^86+12x^87+8x^90+6x^93

The gray image is a code over GF(3) with n=129, k=4 and d=86.
This code was found by Heurico 1.16 in 0.00634 seconds.