The generator matrix

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

generates a code of length 35 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+156x^57+306x^58+438x^59+852x^60+1344x^61+1134x^62+1730x^63+2460x^64+2244x^65+3098x^66+4074x^67+3600x^68+4274x^69+4962x^70+4752x^71+4802x^72+4692x^73+3582x^74+3198x^75+2742x^76+1452x^77+1228x^78+1092x^79+252x^80+294x^81+192x^82+42x^83+44x^84+6x^85+4x^90+2x^93

The gray image is a code over GF(3) with n=105, k=10 and d=57.
This code was found by Heurico 1.13 in 8.8 seconds.