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
 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  0  3  3  0  3  6  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  0  3  6  0  3  6  3  6  0  0  3

generates a code of length 35 over Z9 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+16x^69+54x^70+8x^72+2x^105

The gray image is a code over GF(3) with n=105, k=4 and d=69.
This code was found by Heurico 1.16 in 0.00387 seconds.