The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  3 24  0  9 21 21 24  6  9 12  6
 0  0  9  9 18 18  9  0 18  9  0  9

generates a code of length 12 over Z27 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+6x^21+90x^22+552x^24+36x^25+6x^27+36x^28+2x^36

The gray image is a code over GF(3) with n=108, k=6 and d=63.
This code was found by Heurico 1.16 in 0.000942 seconds.