The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 0 0 3 3 0 0 3 0 3 0 3 6 6 6 0 0 3 3 0 3 6 6 6 0 0 3 3 0 3 3 3 0 3 3 0 0 3 6 6 3 0 3 6 0 3 6 3 6 0 0 3 6 0 3 6 0 3 6 0 3 6 3 6 generates a code of length 29 over Z9 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+54x^57+12x^60+8x^63+6x^66 The gray image is a code over GF(3) with n=87, k=4 and d=57. This code was found by Heurico 1.16 in 0.00358 seconds.