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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+108x^131+198x^132+350x^135+12x^138+54x^140+4x^147+2x^174

The gray image is a code over GF(3) with n=603, k=6 and d=393.
This code was found by Heurico 1.16 in 0.134 seconds.