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

generates a code of length 74 over Z27 who´s minimum homogenous weight is 149.

Homogenous weight enumerator: w(x)=1x^0+60x^149+2x^150+12x^152+4x^153+2x^156

The gray image is a code over GF(3) with n=666, k=4 and d=447.
This code was found by Heurico 1.16 in 0.144 seconds.