The generator matrix 1 0 0 1 1 1 1 1 1 1 18 18 1 3 1 1 1 24 1 1 1 0 21 1 1 1 1 1 1 24 1 1 1 1 1 21 3 1 1 9 1 1 21 12 1 3 1 1 3 1 1 18 18 1 1 1 1 1 1 1 1 1 1 12 1 18 21 1 1 18 1 21 15 1 18 1 0 1 0 0 9 16 23 14 14 19 1 1 4 3 9 23 12 1 17 4 7 1 1 7 2 15 3 10 24 18 8 19 1 5 11 1 1 2 6 1 21 15 1 0 5 1 16 22 1 1 11 12 1 12 10 7 12 23 2 3 11 0 4 12 7 1 1 9 25 3 5 1 15 21 1 8 0 0 1 7 17 8 9 16 20 6 11 19 4 1 24 1 10 7 21 23 10 5 12 24 20 2 4 17 21 1 16 1 12 3 26 15 4 13 0 4 11 25 11 1 9 0 21 11 2 23 0 1 12 18 1 4 6 22 10 17 15 11 26 1 14 24 26 19 2 1 1 23 1 10 25 4 0 0 0 9 18 18 0 9 18 0 18 9 9 9 0 9 9 9 9 0 0 9 18 18 0 9 0 9 18 18 0 18 9 18 9 9 0 18 9 18 0 18 0 18 9 9 9 9 9 18 0 0 0 0 0 18 9 0 9 18 0 9 9 18 0 18 18 0 0 9 0 18 18 18 9 18 generates a code of length 76 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+1210x^144+1728x^145+2196x^146+3928x^147+4158x^148+3906x^149+5136x^150+5184x^151+4086x^152+5932x^153+5364x^154+3798x^155+4326x^156+2916x^157+1656x^158+1610x^159+1026x^160+396x^161+314x^162+36x^163+80x^165+40x^168+22x^171 The gray image is a code over GF(3) with n=684, k=10 and d=432. This code was found by Heurico 1.16 in 708 seconds.