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 3 3 3 3 3 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 0 9 0 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 0 9 18 18 18 0 0 9 9 9 0 9 18 18 18 18 0 9 18 0 9 18 0 0 9 9 0 9 0 18 18 0 0 9 18 18 9 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 18 0 0 9 18 0 9 18 9 0 18 18 0 0 9 18 18 9 9 9 0 18 0 9 18 9 18 0 0 0 9 generates a code of length 53 over Z27 who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+16x^105+210x^106+8x^108+6x^115+2x^132 The gray image is a code over GF(3) with n=477, k=5 and d=315. This code was found by Heurico 1.16 in 0.0399 seconds.