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

generates a code of length 89 over Z27 who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+74x^180+6x^183

The gray image is a code over GF(3) with n=801, k=4 and d=540.
This code was found by Heurico 1.16 in 0.294 seconds.