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  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  9  9  0 18  9  9  9  0  9  9  0  9  0  0  9  0 18 18 18 18 18 18 18 18  0  0  0  9  9  0  9  9 18  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  0 18 18 18  0 18  0  9  9  0  9 18 18 18  0  0  9 18  9  9 18  0 18  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  9  0  9 18 18  0 18  9 18  0  0  9 18  0  9 18 18 18  9  9  9 18  0

generates a code of length 90 over Z27 who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+16x^177+156x^179+514x^180+16x^183+2x^186+16x^189+2x^192+6x^206

The gray image is a code over GF(3) with n=810, k=6 and d=531.
This code was found by Heurico 1.16 in 0.314 seconds.