The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1
 0  3 24  9 21  6 18 12 15 21 24  0

generates a code of length 12 over Z27 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+42x^22+12x^23+92x^24+84x^25+6x^26+4x^27+2x^30

The gray image is a code over GF(3) with n=108, k=5 and d=66.
This code was found by Heurico 1.16 in 0.000391 seconds.