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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 3 1 1 1 1 1 0 3 1 3 0 3 0 0 24 21 3 15 24 18 21 24 9 15 15 21 3 9 12 3 21 9 24 6 9 24 18 15 18 24 21 18 18 12 12 3 9 6 15 3 18 21 9 9 18 15 6 21 6 0 24 12 12 24 21 9 15 15 18 3 24 3 15 0 0 3 24 9 6 3 21 6 21 6 0 18 21 24 18 3 15 24 18 12 18 0 3 21 6 24 18 3 24 15 21 0 3 24 12 6 21 3 9 6 3 9 0 15 15 18 24 21 3 24 15 18 15 15 21 6 18 6 6 24 15 3 0 0 0 9 0 0 18 18 9 18 9 9 18 9 18 9 9 18 18 18 0 9 18 0 9 0 0 9 0 0 0 9 0 18 9 0 9 9 0 0 18 9 18 9 0 9 18 18 18 9 18 9 9 9 18 18 18 18 9 0 0 9 18 generates a code of length 63 over Z27 who´s minimum homogenous weight is 119. Homogenous weight enumerator: w(x)=1x^0+216x^119+248x^120+54x^121+456x^122+270x^123+810x^124+750x^125+798x^126+1458x^127+660x^128+208x^129+108x^130+138x^131+60x^132+126x^134+20x^135+42x^137+82x^138+36x^140+12x^141+6x^143+2x^174 The gray image is a code over GF(3) with n=567, k=8 and d=357. This code was found by Heurico 1.16 in 0.333 seconds.