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

generates a code of length 87 over Z9 who´s minimum homogenous weight is 168.

Homogenous weight enumerator: w(x)=1x^0+30x^168+40x^171+576x^174+60x^177+20x^180+2x^261

The gray image is a code over GF(3) with n=261, k=6 and d=168.
This code was found by Heurico 1.16 in 0.135 seconds.