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

generates a code of length 37 over Z9 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+48x^69+30x^70+84x^71+198x^72+96x^73+36x^74+70x^75+18x^77+28x^78+30x^79+12x^80+38x^81+6x^83+14x^84+6x^85+6x^86+6x^87+2x^96

The gray image is a code over GF(3) with n=111, k=6 and d=69.
This code was found by Heurico 1.13 in -9.54e-008 seconds.