The generator matrix 1 0 0 1 1 1 1 1 0 0 0 3 0 1 0 1 0 8 1 8 1 1 1 1 0 0 1 8 1 8 1 0 8 0 3 6 0 0 0 6 0 0 0 3 3 3 6 6 0 0 0 0 6 0 6 6 3 3 3 6 0 0 0 0 0 3 3 3 0 3 3 3 generates a code of length 12 over Z9 who´s minimum homogenous weight is 15. Homogenous weight enumerator: w(x)=1x^0+162x^15+1026x^18+3954x^21+8688x^24+5246x^27+582x^30+6x^33+18x^36 The gray image is a code over GF(3) with n=36, k=9 and d=15. This code was found by Heurico 1.16 in 0.372 seconds.