The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 1 1 9 1 21 1 1 1 21 24 1 1 1 24 1 1 1 1 21 1 1 1 1 1 1 1 3 1 1 15 1 1 0 1 0 0 18 1 19 1 3 12 11 23 2 25 1 21 1 17 7 19 24 1 14 26 8 1 5 25 21 4 1 21 6 0 19 22 10 6 1 18 11 21 14 24 0 0 1 0 16 25 14 7 4 5 15 1 11 19 14 24 7 3 2 12 1 6 13 7 23 0 11 9 21 18 11 1 17 24 9 23 6 5 0 17 7 1 14 3 0 0 0 1 14 9 5 5 1 21 13 3 11 23 25 26 25 23 25 17 20 14 2 22 10 13 21 24 16 13 26 9 15 7 21 15 11 10 4 5 25 23 9 12 generates a code of length 44 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+852x^78+1500x^79+4920x^80+8590x^81+11196x^82+17412x^83+29328x^84+35346x^85+46410x^86+65290x^87+64584x^88+65952x^89+69460x^90+46188x^91+30528x^92+20292x^93+7668x^94+4290x^95+1202x^96+156x^97+66x^98+84x^99+54x^100+30x^101+30x^102+6x^103+6x^104 The gray image is a code over GF(3) with n=396, k=12 and d=234. This code was found by Heurico 1.16 in 330 seconds.