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

generates a code of length 46 over Z9 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+108x^87+222x^90+324x^93+18x^96+18x^99+36x^105+2x^135

The gray image is a code over GF(3) with n=138, k=6 and d=87.
This code was found by Heurico 1.16 in 98.4 seconds.