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 3 1 1 1 1 1 1 1 3 1 1 1 0 1 1 1 3 1 1 1 1 1 1 0 3 24 0 21 24 0 21 24 9 21 24 12 6 0 12 9 15 21 9 24 15 21 21 21 0 24 6 21 12 24 15 9 9 3 6 12 0 21 21 6 3 24 24 0 0 0 9 0 0 0 0 18 9 0 9 18 9 0 18 18 18 0 9 18 18 0 0 9 9 9 9 9 0 9 18 0 9 18 0 9 0 18 0 0 18 18 9 0 0 0 0 0 9 0 0 0 0 0 18 9 18 18 18 9 18 18 18 18 9 0 0 18 9 9 0 18 18 0 0 0 18 0 18 9 0 18 9 18 9 18 9 0 0 0 0 0 0 0 18 0 9 18 9 9 18 18 18 18 0 0 0 0 9 18 18 18 18 0 18 0 0 18 9 18 9 0 9 0 0 18 9 9 18 18 18 9 18 9 0 0 0 0 0 0 9 9 0 18 9 9 9 18 0 18 18 18 18 18 9 18 9 18 18 18 18 0 9 9 9 0 9 0 0 9 18 9 9 9 0 0 0 9 18 9 generates a code of length 45 over Z27 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+106x^78+90x^80+334x^81+18x^82+174x^83+446x^84+144x^85+702x^86+580x^87+3348x^88+2214x^89+638x^90+6408x^91+2226x^92+766x^93+288x^94+270x^95+438x^96+126x^98+208x^99+30x^101+52x^102+40x^105+14x^108+14x^111+4x^114+2x^117+2x^123 The gray image is a code over GF(3) with n=405, k=9 and d=234. This code was found by Heurico 1.16 in 1.49 seconds.