The generator matrix

 1  0  1  1  1  1  1  1  1  3  1
 0  1  1 26 25 18 21 16 21  3  4
 0  0 24  0  3 21 15 18 18  3  0
 0  0  0  9  0 18 18 18  9 18  0
 0  0  0  0  9 18  0 18  9  0  9

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

Homogenous weight enumerator: w(x)=1x^0+88x^15+378x^16+2060x^18+1908x^19+5346x^20+7970x^21+19872x^22+10692x^23+7920x^24+2592x^25+162x^27+36x^28+22x^30+2x^33

The gray image is a code over GF(3) with n=99, k=10 and d=45.
This code was found by Heurico 1.16 in 0.723 seconds.