The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1  4 16 19  0 24  4 13  0  9  6 16 16 24
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18 18  0 18  9 18  0 18  0 18  0  9 18  9
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18 18  9  0 18  9  9 18 18  0  9  9  0

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

Homogenous weight enumerator: w(x)=1x^0+370x^51+216x^52+1432x^54+864x^55+2230x^57+864x^58+544x^60+30x^63+2x^66+2x^69+4x^72+2x^78

The gray image is a code over GF(3) with n=252, k=8 and d=153.
This code was found by Heurico 1.16 in 0.0517 seconds.