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  3  1  1  1  3  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 18 18  0  0
 0  0  9  0  0  0  0  9 18 18 18  9  9  0 18  9  9  0  9 18  0  0  0 18 18 18  0 18
 0  0  0  9  0  0  9 18  0 18  0  9 18  0 18 18  9 18 18  0 18  0 18 18 18  0  9  0
 0  0  0  0  9  0 18 18  9  0 18  9  9  0  9  0  9 18 18  0  9  9  0 18  0 18  9  9
 0  0  0  0  0  9 18 18 18 18 18 18  0  9 18 18  0  0  9  9 18 18  9 18  9  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+52x^45+112x^48+54x^50+108x^51+324x^53+102x^54+5022x^56+70x^57+432x^59+96x^60+94x^63+46x^66+30x^69+12x^72+6x^75

The gray image is a code over GF(3) with n=252, k=8 and d=135.
This code was found by Heurico 1.16 in 0.13 seconds.