The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  0  9  9 18  9  0  0  9  0 18 18
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9 18  0 18 18  9 18  9  0  9 18
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9  0 18  9  9  9  9  0  0 18  0  9
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0 18  0  9  0 18  9  0  9  9  9 18

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

Homogenous weight enumerator: w(x)=1x^0+90x^51+240x^54+1458x^56+324x^57+36x^60+36x^69+2x^81

The gray image is a code over GF(3) with n=252, k=7 and d=153.
This code was found by Heurico 1.16 in 1.46 seconds.