The generator matrix

 1  1  1  1  1  1  1
 0  3 24  0 21  9 21
 0  0  9  9 18 18  9

generates a code of length 7 over Z27 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+36x^11+28x^12+576x^14+48x^15+36x^17+2x^18+2x^21

The gray image is a code over GF(3) with n=63, k=6 and d=33.
This code was found by Heurico 1.16 in 0.000365 seconds.