The generator matrix

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

generates a code of length 37 over Z9 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+270x^68+216x^69+396x^71+186x^72+270x^74+110x^75+198x^77+102x^78+252x^80+56x^81+54x^83+50x^84+18x^86+6x^87+2x^93

The gray image is a code over GF(3) with n=111, k=7 and d=68.
This code was found by Heurico 1.16 in 43.4 seconds.