The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  1  3  1  1  3  1  1  3  1  1  3  1  1  1
 0  3  0  0  0  0  0  0  0  0  0  0  0  0  0  0  6  3  3  6  3  0  3  3  6  0  6  3  3  0  3  6  3  3  0  3  0  3  6  0
 0  0  3  0  0  0  0  0  0  0  0  0  0  0  0  6  0  6  6  6  3  6  3  0  3  3  6  6  0  6  0  6  6  3  3  6  3  0  3  0
 0  0  0  3  0  0  0  0  0  0  3  3  3  3  6  6  0  6  0  6  6  6  6  0  0  6  3  0  6  6  0  0  6  3  6  3  3  3  0  0
 0  0  0  0  3  0  0  0  0  3  6  3  6  3  0  3  0  0  0  0  3  6  0  3  3  0  3  0  3  3  0  6  0  6  0  3  6  0  3  0
 0  0  0  0  0  3  0  0  0  6  6  0  3  3  3  3  3  6  0  3  6  0  0  0  6  3  3  3  3  3  0  3  6  3  3  6  0  0  0  0
 0  0  0  0  0  0  3  0  0  6  6  3  0  6  6  6  3  6  3  6  6  0  6  6  3  6  0  3  0  6  3  0  0  6  3  0  6  6  6  3
 0  0  0  0  0  0  0  3  0  6  6  6  0  0  0  6  6  6  3  3  0  3  3  6  0  3  6  0  0  0  6  0  6  3  0  3  6  0  3  6
 0  0  0  0  0  0  0  0  3  6  3  3  6  0  3  3  0  3  3  0  6  6  6  3  6  0  0  0  3  6  6  0  6  0  6  0  0  0  6  0

generates a code of length 40 over Z9 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+82x^57+344x^60+534x^63+848x^66+54x^68+1202x^69+648x^71+1574x^72+3240x^74+2098x^75+8640x^77+2386x^78+12960x^80+2636x^81+10368x^83+2596x^84+3456x^86+2050x^87+1512x^90+916x^93+466x^96+286x^99+98x^102+32x^105+18x^108+4x^111

The gray image is a code over GF(3) with n=120, k=10 and d=57.
This code was found by Heurico 1.16 in 45.3 seconds.