The generator matrix

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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+66x^45+84x^47+324x^48+840x^50+1170x^51+1944x^52+3900x^53+7414x^54+7776x^55+7206x^56+12638x^57+7776x^58+5100x^59+2118x^60+366x^62+182x^63+86x^66+42x^69+14x^72+2x^75

The gray image is a code over GF(3) with n=252, k=10 and d=135.
This code was found by Heurico 1.16 in 3.43 seconds.