The generator matrix 1 1 1 1 1 3 1 1 1 1 0 3 24 0 21 21 0 0 9 24 0 0 9 0 0 18 0 9 18 18 0 0 0 9 0 18 18 18 9 0 0 0 0 0 18 18 9 9 9 9 generates a code of length 10 over Z27 who´s minimum homogenous weight is 13. Homogenous weight enumerator: w(x)=1x^0+30x^13+72x^15+168x^16+708x^18+612x^19+2916x^20+1296x^21+582x^22+90x^24+66x^25+20x^27 The gray image is a code over GF(3) with n=90, k=8 and d=39. This code was found by Heurico 1.16 in 0.188 seconds.