The generator matrix

 1  0  0  1  1  1 15  1  1  1
 0  1  0 16 15  1  1  9  7  3
 0  0  1 14 16  1 16 17 24 12

generates a code of length 10 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+20x^15+636x^16+336x^17+2298x^18+2298x^19+6780x^20+4518x^21+2406x^22+336x^23+46x^24+6x^25+2x^27

The gray image is a code over GF(3) with n=90, k=9 and d=45.
This code was found by Heurico 1.16 in 0.0772 seconds.