The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+390x^68+324x^69+876x^71+396x^72+888x^74+486x^75+858x^77+438x^78+636x^80+308x^81+480x^83+198x^84+228x^86+30x^87+18x^89+6x^90

The gray image is a code over GF(3) with n=114, k=8 and d=68.
This code was found by Heurico 1.16 in 74.7 seconds.