The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 0 3 0 3 24 0 21 24 21 6 0 9 0 9 21 24 9 21 12 6 3 9 3 18 3 24 6 6 15 0 0 9 9 21 21 12 3 3 3 0 18 21 12 9 21 24 3 21 0 0 9 0 9 0 18 18 9 18 9 18 18 0 0 9 0 9 9 9 18 18 0 9 18 0 18 0 9 9 0 18 9 0 0 18 9 18 0 0 9 9 0 9 9 18 0 0 0 9 18 9 9 18 18 9 0 18 18 0 18 0 18 9 9 9 0 0 9 18 9 18 0 18 9 0 0 0 9 0 18 9 18 0 9 9 0 18 18 18 18 18 generates a code of length 46 over Z27 who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+72x^87+120x^88+108x^89+440x^90+258x^91+772x^93+216x^94+60x^96+42x^97+54x^98+22x^99+12x^100+6x^102+2x^111+2x^126 The gray image is a code over GF(3) with n=414, k=7 and d=261. This code was found by Heurico 1.16 in 0.0518 seconds.