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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+758x^51+822x^52+1488x^53+3362x^54+1710x^55+2058x^56+4534x^57+1680x^58+1464x^59+1432x^60+318x^61+12x^62+24x^63+6x^64+14x^66

The gray image is a code over GF(3) with n=252, k=9 and d=153.
This code was found by Heurico 1.16 in 0.314 seconds.