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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 0 3 24 0 21 24 6 9 21 21 0 24 21 0 24 6 18 12 21 0 9 12 0 21 24 6 6 15 9 12 9 24 12 12 21 12 0 3 24 9 18 6 15 0 18 18 6 24 6 12 3 12 0 12 15 6 21 12 18 6 9 15 24 21 21 24 21 6 0 0 0 9 0 0 0 18 0 18 9 0 9 9 9 0 9 9 0 18 18 9 0 18 9 9 0 18 18 18 9 9 0 9 18 18 9 18 18 9 9 18 18 18 18 9 9 0 0 18 9 18 9 0 18 0 18 0 0 0 9 9 18 0 9 0 0 18 0 0 0 0 0 9 0 9 18 18 18 9 0 18 0 18 18 18 0 18 0 0 18 9 18 0 9 0 0 9 9 18 9 0 9 9 9 18 0 0 0 18 18 18 0 18 9 0 9 18 0 9 0 0 18 18 18 18 0 9 18 18 9 9 9 9 18 18 0 18 0 0 0 0 0 18 18 9 0 18 9 18 18 0 0 18 0 9 0 18 18 9 0 18 9 0 18 9 9 18 9 9 9 0 18 9 0 9 0 18 18 9 18 0 0 0 0 0 9 18 18 9 18 18 0 0 0 9 18 9 9 18 0 9 18 18 0 18 18 9 generates a code of length 69 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+104x^129+66x^130+288x^132+126x^133+216x^134+192x^135+72x^136+864x^137+3104x^138+72x^139+864x^140+118x^141+60x^142+158x^144+24x^145+46x^147+24x^148+80x^150+30x^151+36x^153+12x^154+2x^156+2x^201 The gray image is a code over GF(3) with n=621, k=8 and d=387. This code was found by Heurico 1.16 in 0.424 seconds.