The generator matrix 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 0 3 0 0 0 0 3 6 6 0 3 0 3 3 6 0 0 3 0 0 3 6 0 6 0 3 3 6 0 6 0 0 0 3 0 6 6 3 0 3 3 6 3 6 3 0 0 0 0 3 6 6 6 6 6 6 0 0 6 6 generates a code of length 15 over Z9 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+60x^24+40x^27+162x^28+62x^30+324x^31+20x^33+40x^36+10x^39+10x^42 The gray image is a code over GF(3) with n=45, k=6 and d=24. This code was found by Heurico 1.16 in 0.0279 seconds.