The generator matrix

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

generates a code of length 34 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+86x^57+36x^58+72x^59+300x^60+96x^61+168x^62+462x^63+222x^64+258x^65+840x^66+456x^67+384x^68+826x^69+336x^70+372x^71+704x^72+264x^73+174x^74+294x^75+48x^76+30x^77+58x^78+40x^81+22x^84+4x^87+8x^90

The gray image is a code over GF(3) with n=102, k=8 and d=57.
This code was found by Heurico 1.16 in 0.317 seconds.