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

generates a code of length 91 over Z27 who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+114x^180+486x^182+102x^183+20x^189+6x^210

The gray image is a code over GF(3) with n=819, k=6 and d=540.
This code was found by Heurico 1.16 in 0.329 seconds.