The generator matrix

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

generates a code of length 28 over Z27 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+86x^42+172x^45+202x^48+162x^50+304x^51+972x^53+276x^54+15066x^56+268x^57+1296x^59+322x^60+256x^63+172x^66+98x^69+24x^72+6x^75

The gray image is a code over GF(3) with n=252, k=9 and d=126.
This code was found by Heurico 1.16 in 1.01 seconds.