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 0 3 24 0 21 24 21 6 0 9 0 9 9 12 21 21 24 9 6 24 15 6 18 6 12 12 12 0 0 9 0 9 0 18 18 9 18 9 18 9 0 18 9 18 0 18 0 0 9 18 9 9 18 0 0 0 0 9 18 9 9 18 18 9 0 18 9 0 18 0 9 18 0 0 18 9 0 18 0 18 18 generates a code of length 27 over Z27 who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+324x^51+1698x^54+162x^60+2x^81 The gray image is a code over GF(3) with n=243, k=7 and d=153. This code was found by Heurico 1.16 in 27.6 seconds.