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

generates a code of length 37 over Z9 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+54x^74+12x^75+12x^78+2x^81

The gray image is a code over GF(3) with n=111, k=4 and d=74.
This code was found by Heurico 1.16 in 0.00823 seconds.