The generator matrix

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

generates a code of length 11 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+50x^15+144x^16+186x^17+442x^18+396x^19+576x^20+920x^21+13878x^22+882x^23+1088x^24+612x^25+300x^26+166x^27+36x^28+4x^30+2x^33

The gray image is a code over GF(3) with n=99, k=9 and d=45.
This code was found by Heurico 1.16 in 0.166 seconds.