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 3 1 1 1 3 1 1 1 1 1 3 1 1 3 1 1 1 1 0 9 0 1 1 1 1 3 1 0 3 0 0 0 24 21 15 3 6 15 21 18 6 3 12 24 24 18 24 18 21 21 18 6 9 12 12 0 21 18 6 15 6 24 24 21 12 9 18 6 6 18 12 21 21 21 3 0 6 6 3 3 12 24 24 0 21 15 15 9 18 0 12 0 3 0 3 3 15 3 9 18 21 0 0 3 0 9 18 9 18 0 0 21 15 15 6 21 15 12 24 3 6 21 21 6 6 21 6 12 15 24 12 6 15 3 9 15 9 18 0 9 12 9 3 3 6 3 15 15 12 24 15 21 15 18 9 3 12 21 24 0 0 15 9 3 9 9 15 3 12 0 18 24 9 21 9 0 0 0 3 15 0 6 3 12 15 18 24 24 6 0 9 3 21 15 18 12 3 21 21 15 18 6 12 18 3 12 6 15 3 3 15 9 15 18 15 0 18 12 12 0 9 6 15 24 12 12 21 9 21 9 12 0 15 24 9 9 15 3 0 24 18 12 0 6 18 9 21 24 21 generates a code of length 74 over Z27 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+444x^138+1194x^141+144x^142+252x^143+1780x^144+864x^145+1350x^146+2730x^147+2214x^148+2376x^149+2724x^150+1152x^151+396x^152+960x^153+432x^156+300x^159+248x^162+66x^165+48x^168+6x^171+2x^198 The gray image is a code over GF(3) with n=666, k=9 and d=414. This code was found by Heurico 1.16 in 9.56 seconds.