The generator matrix

 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
 0  9  0  0  0  0  0  0  0  0  9  9  9 18  9 18  9 18  9  9  9 18  9  9  0
 0  0  9  0  0  0  0  9 18 18 18 18  9  0 18  0 18 18  9  9  0  9  9 18  0
 0  0  0  9  0  0  9 18  0 18 18  9  0  0 18  9  0 18 18  9 18 18 18  9  0
 0  0  0  0  9  0 18 18  9  0 18 18  9  0 18  0  9  0  0 18 18 18  9  9  9
 0  0  0  0  0  9 18 18 18 18  9  0  9  9 18  9 18 18  0  0  0  0 18  9 18

generates a code of length 25 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+54x^39+88x^42+122x^45+568x^48+4374x^50+1074x^51+114x^54+88x^57+42x^60+22x^63+10x^66+2x^69+2x^72

The gray image is a code over GF(3) with n=225, k=8 and d=117.
This code was found by Heurico 1.16 in 0.108 seconds.