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

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

Homogenous weight enumerator: w(x)=1x^0+70x^57+188x^60+242x^63+384x^66+1224x^69+2186x^72+1562x^75+258x^78+198x^81+136x^84+58x^87+44x^90+8x^93+2x^99

The gray image is a code over GF(3) with n=108, k=8 and d=57.
This code was found by Heurico 1.16 in 0.654 seconds.