The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 3 1 1 1 0 3 1 1 3 0 3 0 0 24 21 15 3 24 0 18 9 21 15 6 15 3 12 21 9 24 18 21 12 24 6 24 15 3 21 12 18 15 0 0 3 24 0 15 21 3 6 0 21 15 15 21 9 15 21 9 9 3 24 18 15 21 15 3 21 6 9 24 21 6 12 0 0 0 9 0 0 18 9 18 18 18 0 18 18 0 18 0 9 18 18 9 9 18 18 0 0 0 0 9 18 0 0 9 0 0 0 0 9 18 0 9 18 18 18 18 18 9 18 0 9 18 18 0 18 18 9 18 18 0 18 0 18 9 18 0 0 generates a code of length 33 over Z27 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+298x^57+36x^59+990x^60+1044x^62+1602x^63+972x^64+2808x^65+3534x^66+1944x^67+3258x^68+1956x^69+144x^71+816x^72+228x^75+42x^78+2x^81+8x^84 The gray image is a code over GF(3) with n=297, k=9 and d=171. This code was found by Heurico 1.16 in 0.937 seconds.