The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^15+318x^18+972x^20+852x^21+1458x^22+1944x^23+822x^24+140x^27+12x^30

The gray image is a code over GF(3) with n=99, k=8 and d=45.
This code was found by Heurico 1.16 in 0.0202 seconds.