The generator matrix 1 0 1 1 1 1 1 1 0 1 1 18 1 21 1 1 1 1 3 1 1 6 1 1 1 24 1 1 1 1 21 1 18 1 1 18 1 1 0 1 1 1 6 1 1 1 12 1 1 1 1 6 1 1 12 12 1 1 1 21 1 12 1 1 3 1 1 0 0 1 1 26 21 20 16 24 1 26 13 1 17 1 18 4 23 19 1 12 14 1 25 15 1 1 11 2 0 4 1 3 1 17 6 1 11 6 1 16 19 20 1 23 6 12 1 7 8 24 15 1 8 9 1 1 5 11 5 1 23 1 19 18 0 1 5 1 0 0 24 0 18 18 9 0 15 6 3 3 21 15 3 18 0 18 21 15 12 3 12 21 3 6 24 21 6 15 15 21 21 24 12 0 9 15 6 6 9 6 6 0 9 0 12 9 12 15 9 12 18 12 18 6 24 18 12 0 15 21 15 24 15 21 3 9 0 0 0 9 9 0 18 18 9 0 9 0 18 0 18 0 18 9 18 18 9 0 0 0 9 0 18 0 18 9 18 18 9 9 9 9 18 18 0 9 0 18 9 0 9 18 0 0 0 9 0 18 18 9 0 9 9 18 18 9 0 0 9 0 9 0 9 9 generates a code of length 68 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+750x^129+810x^130+648x^131+1674x^132+1710x^133+1242x^134+2048x^135+2196x^136+1512x^137+2022x^138+1836x^139+864x^140+1086x^141+720x^142+108x^143+260x^144+18x^145+74x^147+42x^150+38x^153+14x^156+6x^159+2x^162+2x^165 The gray image is a code over GF(3) with n=612, k=9 and d=387. This code was found by Heurico 1.16 in 93.8 seconds.