The generator matrix

 1  0  0  1  1  1  1  1  1  1  1 24  9  1 15  1  1  1  1  1  6  9  1  1  1  1  1
 0  1  0 18 21 16 26 19  7 20 14  1  1 13  1  5 10  3  8  2  3  1 22 16  3  8 23
 0  0  1 16 14  5 26 22 24 15  7 16  8 18 19 17 23  4 19 21  1 20 20  1 12  3 19

generates a code of length 27 over Z27 who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+720x^49+630x^50+1782x^51+3294x^52+1242x^53+2990x^54+4254x^55+1308x^56+1776x^57+1416x^58+210x^59+12x^60+30x^61+12x^62+6x^64

The gray image is a code over GF(3) with n=243, k=9 and d=147.
This code was found by Heurico 1.16 in 0.303 seconds.