The generator matrix

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

generates a code of length 36 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+182x^57+300x^58+648x^59+1120x^60+1440x^61+2454x^62+3094x^63+3342x^64+5496x^65+6328x^66+6822x^67+10224x^68+11050x^69+11394x^70+15294x^71+13684x^72+12600x^73+16140x^74+12828x^75+10176x^76+10230x^77+7448x^78+4848x^79+4122x^80+2696x^81+1338x^82+936x^83+544x^84+198x^85+66x^86+52x^87+30x^88+8x^90+8x^93+4x^96+2x^99

The gray image is a code over GF(3) with n=108, k=11 and d=57.
This code was found by Heurico 1.13 in 88.8 seconds.