The generator matrix

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

generates a code of length 37 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+56x^57+18x^58+12x^59+226x^60+294x^61+324x^62+746x^63+834x^64+684x^65+1312x^66+2076x^67+1350x^68+2498x^69+4362x^70+2592x^71+3948x^72+6180x^73+2844x^74+4424x^75+6288x^76+2772x^77+3600x^78+4236x^79+1782x^80+1896x^81+1572x^82+684x^83+666x^84+366x^85+78x^86+200x^87+18x^88+74x^90+22x^93+10x^96+4x^99

The gray image is a code over GF(3) with n=111, k=10 and d=57.
This code was found by Heurico 1.16 in 21.1 seconds.