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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+48x^67+16x^69+8x^72+6x^76+2x^78

The gray image is a code over GF(3) with n=102, k=4 and d=67.
This code was found by Heurico 1.16 in 0.00344 seconds.