The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1  3  3  3  9  9
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21  6 16 19 20  5 18 21 15  1  1
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9 18  9 18  9  0

generates a code of length 27 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+558x^51+180x^52+600x^54+288x^55+522x^57+18x^58+18x^60+2x^81

The gray image is a code over GF(3) with n=243, k=7 and d=153.
This code was found by Heurico 1.16 in 6.29 seconds.