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  3  3  1  1  1  3  3  1  1  1  3  3  3  3  1  1  1  9  9  0  3  3  3  1
 0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  0  9 18  9 18  0  9 18  9 18  0  9 18  0  9 18  0  0  9 18  9 18  9  0  9  0  0

generates a code of length 51 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+56x^102+6x^104+4x^105+12x^107+2x^111

The gray image is a code over GF(3) with n=459, k=4 and d=306.
This code was found by Heurico 1.16 in 0.0345 seconds.