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  1  1  1  1  1  1  1  1  1  1  1  3  0  1  1  1  3  1  1  9  0  3
 0  3  0  0  0 24  9 18  0  9 18 12 15 21 15 12  3  6 12 24 12 15 24 15  6 12 12 24 21 15 15 15 12  3 21 15  3 21 12 24 21  9  6  3  3 24
 0  0  3  0  9 18 15 21  6 21  6  3 15 15 21  3  6  6 12  3  0  6 18  9 21  0 15  0 15 21  0  6  3  6  9 21  3 12  0 21  9 12 18 21 15  6
 0  0  0  3 15  0 18 15 12 12  6 24  9 24  9 18  0 21 21  6 15 24 24  3  3 12 12 12 21 12 24  3  6 24 12  6 21  0 24 18  6  6 24  6  6  9

generates a code of length 46 over Z27 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+294x^83+298x^84+852x^86+516x^87+324x^88+1860x^89+1764x^90+1296x^91+4230x^92+3122x^93+1296x^94+1992x^95+456x^96+582x^98+204x^99+300x^101+142x^102+90x^104+54x^105+6x^107+2x^108+2x^120

The gray image is a code over GF(3) with n=414, k=9 and d=249.
This code was found by Heurico 1.16 in 4.02 seconds.