The generator matrix 1 1 1 1 1 1 1 1 3 3 0 3 0 21 9 3 24 24 18 9 0 0 3 6 15 3 0 9 21 3 0 0 0 9 0 18 9 18 9 9 generates a code of length 10 over Z27 who´s minimum homogenous weight is 15. Homogenous weight enumerator: w(x)=1x^0+96x^15+396x^16+216x^18+1188x^19+2916x^20+252x^21+1296x^22+156x^24+36x^25+8x^27 The gray image is a code over GF(3) with n=90, k=8 and d=45. This code was found by Heurico 1.16 in 0.0179 seconds.