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 3 3 1 1 1 1 1 1 1 1 1 0 1 3 3 1 0 3 24 0 21 24 6 9 21 21 0 24 18 6 21 12 0 24 9 24 9 21 15 6 12 21 24 12 3 15 15 21 24 9 0 6 0 9 9 15 9 0 3 15 21 24 21 0 0 9 0 0 0 18 0 18 18 9 18 18 18 18 0 0 18 0 18 0 0 0 18 18 18 18 0 18 9 0 9 18 9 18 9 9 18 9 0 0 18 18 9 0 18 0 0 0 0 9 0 9 18 18 18 18 18 0 9 9 9 9 0 18 0 18 18 9 9 9 0 9 0 9 0 18 0 0 18 9 18 18 18 18 0 0 9 18 0 18 9 9 18 0 0 0 0 18 18 9 0 18 9 18 18 9 0 9 0 9 18 18 0 9 9 9 18 9 0 0 18 18 0 18 18 9 0 9 9 9 0 0 0 18 18 18 18 0 0 9 generates a code of length 47 over Z27 who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+66x^85+86x^87+294x^88+440x^90+264x^91+486x^92+1512x^93+288x^94+972x^95+1484x^96+222x^97+78x^99+186x^100+12x^102+96x^103+8x^105+42x^106+10x^108+6x^111+6x^114+2x^126 The gray image is a code over GF(3) with n=423, k=8 and d=255. This code was found by Heurico 1.16 in 0.211 seconds.