The generator matrix

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

generates a code of length 38 over Z9 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+444x^68+300x^69+750x^71+470x^72+936x^74+498x^75+828x^77+342x^78+744x^80+310x^81+450x^83+204x^84+222x^86+60x^87+2x^90

The gray image is a code over GF(3) with n=114, k=8 and d=68.
This code was found by Heurico 1.13 in 1.44 seconds.