The generator matrix

 1  0  1  1  1  1  1 21  1  1  1
 0  1  7 26 21  4 20  1 24 16 26
 0  0  9  0  0  0 18 18  0 18  9
 0  0  0  9  0  0 18  9 18  9  0
 0  0  0  0 18  0 18  9  9  0  9
 0  0  0  0  0  9  0  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+132x^15+162x^16+1266x^18+972x^19+10206x^20+4536x^21+15066x^22+20412x^23+4866x^24+1296x^25+110x^27+24x^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 25.1 seconds.