The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 0 1 1 21 1 1 1 24 1 1 1 1 1 1 1 1 1 9 12 6 1 1 1 1 1 1 9 12 1 1 1 6 1 1 1 12 1 1 1 1 1 1 1 1 1 1 1 18 0 6 18 21 0 1 7 26 4 21 20 1 24 19 23 1 0 16 26 24 1 4 23 1 21 19 20 1 9 12 6 16 13 10 8 11 5 1 1 1 9 12 7 13 8 11 1 1 6 10 14 1 9 7 26 1 0 21 24 12 4 13 16 19 6 10 8 1 3 1 1 1 0 0 9 0 18 18 9 9 9 0 18 18 9 18 9 18 18 0 0 0 0 9 18 9 18 9 0 0 9 18 18 0 9 9 18 0 9 0 0 18 9 18 0 9 9 0 9 9 0 18 18 0 18 9 0 18 9 0 9 18 18 9 0 18 9 18 9 18 generates a code of length 68 over Z27 who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+342x^133+396x^134+8x^135+864x^136+252x^137+8x^138+54x^139+72x^140+2x^141+144x^142+36x^143+4x^147+2x^150+2x^159 The gray image is a code over GF(3) with n=612, k=7 and d=399. This code was found by Heurico 1.16 in 0.127 seconds.