The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 0 1 1 1 1 21 1 1 24 1 1 1 9 1 1 1 12 1 1 1 24 1 1 1 6 1 1 1 1 24 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 7 26 21 4 20 1 24 19 23 1 16 0 26 1 21 20 24 4 1 19 23 1 9 16 8 1 12 13 5 1 24 19 20 1 10 11 6 1 11 24 19 10 1 6 20 1 0 21 6 0 9 21 9 18 12 16 7 4 10 6 4 22 16 26 17 23 11 0 0 9 0 18 9 18 0 9 18 0 9 0 18 9 18 9 18 0 0 9 18 9 18 9 18 18 9 0 18 18 18 18 9 9 0 0 9 18 0 0 0 9 0 18 9 0 9 0 18 18 9 9 0 18 0 9 18 0 0 18 9 9 18 0 9 9 0 0 0 0 0 9 0 9 9 9 18 18 0 18 9 9 0 9 9 18 18 18 0 0 18 18 18 18 18 18 18 0 9 18 0 9 18 9 9 0 9 0 0 0 0 18 9 9 9 0 18 9 18 9 0 0 0 9 18 0 0 9 9 0 0 9 18 9 18 9 18 generates a code of length 69 over Z27 who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+224x^132+282x^133+504x^134+882x^135+708x^136+396x^137+986x^138+414x^139+162x^140+828x^141+456x^142+360x^143+220x^144+84x^145+36x^146+4x^147+8x^150+2x^159+2x^171+2x^180 The gray image is a code over GF(3) with n=621, k=8 and d=396. This code was found by Heurico 1.16 in 0.243 seconds.