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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+234x^180+6x^198+2x^216

The gray image is a code over GF(3) with n=810, k=5 and d=540.
This code was found by Heurico 1.16 in 0.307 seconds.