The generator matrix 1 1 1 1 1 1 1 1 1 3 0 3 0 0 0 3 0 6 6 3 0 0 3 0 0 6 3 0 6 6 0 0 0 3 0 6 3 6 0 3 0 0 0 0 3 3 3 3 6 0 generates a code of length 10 over Z9 who´s minimum homogenous weight is 15. Homogenous weight enumerator: w(x)=1x^0+72x^15+222x^18+324x^21+90x^24+20x^27 The gray image is a code over GF(3) with n=30, k=6 and d=15. This code was found by Heurico 1.16 in 0.00146 seconds.