The generator matrix

 1  0  1  1  1  1  1 21 18  3
 0  1  1 26 25 18 26  1  1  1
 0  0 24  0  3 21  6 18 21 12
 0  0  0  9  0 18  0 18 18 18

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

Homogenous weight enumerator: w(x)=1x^0+96x^15+612x^16+2808x^18+2052x^19+6318x^20+5436x^21+2160x^22+156x^24+36x^25+8x^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 0.0867 seconds.