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

generates a code of length 90 over Z27 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+36x^174+72x^177+1968x^180+72x^183+36x^186+2x^270

The gray image is a code over GF(3) with n=810, k=7 and d=522.
This code was found by Heurico 1.16 in 0.371 seconds.