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 3 0 3 24 0 21 24 21 6 0 9 0 9 9 21 12 9 21 3 3 18 3 24 6 24 6 6 15 21 0 0 9 0 9 0 18 18 9 18 9 18 9 18 0 0 9 18 9 18 0 0 9 9 18 0 18 18 0 0 0 9 18 9 9 18 18 9 0 18 9 18 18 18 0 0 9 0 9 0 9 18 9 18 0 18 generates a code of length 28 over Z27 who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+324x^53+240x^54+972x^56+486x^57+162x^62+2x^81 The gray image is a code over GF(3) with n=252, k=7 and d=159. This code was found by Heurico 1.16 in 0.0172 seconds.