The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^15+162x^16+846x^18+972x^19+2664x^21+10692x^22+2694x^24+1296x^25+242x^27+18x^30

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 0.156 seconds.