The generator matrix

 1  0  0  1  1  1  1  1  1  6  1  1  1  1  1  1  1  1  3  0  1  1  3  3  1  1  1  0  1  1  1  1  1  6  3  0
 0  1  0  6  1  7  8  0  2  1  6  4  5  1  2  4  3  0  1  1  2  3  0  1  8  1  2  6  4  1  3  6  8  1  1  1
 0  0  1  7  1  6  2  8  6  7  4  0  5  4  7  8  1  3  4  5  3  7  1  7  4  8  1  1  5  6  3  5  8  0  3  8

generates a code of length 36 over Z9 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+168x^68+108x^69+168x^71+56x^72+24x^74+52x^75+84x^77+12x^78+30x^80+12x^83+14x^84

The gray image is a code over GF(3) with n=108, k=6 and d=68.
This code was found by Heurico 1.16 in 2.49 seconds.