The generator matrix 1 0 0 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 3 1 1 6 1 3 0 1 0 6 1 7 8 0 2 1 6 4 1 5 3 5 2 8 1 4 3 3 4 1 0 0 1 7 1 6 2 8 6 7 4 0 4 3 7 5 3 5 3 1 5 1 8 0 generates a code of length 24 over Z9 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+126x^44+120x^45+174x^47+44x^48+108x^50+36x^51+54x^53+32x^54+24x^56+8x^57+2x^66 The gray image is a code over GF(3) with n=72, k=6 and d=44. This code was found by Heurico 1.13 in 1.11e-007 seconds.