The generator matrix 1 0 1 1 1 1 1 0 1 3 1 1 1 0 1 0 3 1 1 1 6 3 1 1 1 1 1 1 6 3 1 0 1 1 8 0 7 8 1 8 1 0 7 0 1 7 1 1 3 3 4 1 1 4 1 7 0 6 3 1 0 7 0 0 6 0 0 6 0 3 3 6 6 6 6 0 3 3 3 6 0 6 3 6 3 0 0 0 3 0 0 3 6 0 0 0 3 0 6 6 6 6 3 0 6 3 0 0 3 3 3 6 6 0 3 3 6 0 3 0 0 6 0 0 0 0 0 0 3 3 3 0 6 0 6 6 3 6 6 3 6 6 6 0 0 6 0 3 0 3 3 6 0 6 6 generates a code of length 31 over Z9 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+138x^54+396x^57+490x^60+448x^63+518x^66+162x^69+12x^72+4x^75+14x^78+4x^81 The gray image is a code over GF(3) with n=93, k=7 and d=54. This code was found by Heurico 1.16 in 0.0354 seconds.