The generator matrix

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

generates a code of length 7 over Z27 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+10x^12+216x^14+12x^15+2x^18+2x^21

The gray image is a code over GF(3) with n=63, k=5 and d=36.
This code was found by Heurico 1.16 in 0.000141 seconds.