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 3 1 3 0 1 1 3 1 0 3 0 0 24 21 3 15 24 9 18 21 21 24 6 18 24 21 24 18 3 15 0 18 12 12 24 3 18 6 21 6 6 12 12 24 6 12 0 18 9 15 3 12 18 0 0 21 6 9 21 15 21 6 18 3 18 15 24 3 0 21 0 15 0 0 3 24 9 6 3 21 15 15 0 15 3 18 12 12 24 9 9 9 0 12 6 3 12 15 24 12 0 12 0 9 6 6 3 18 21 9 12 24 3 12 15 6 3 9 18 18 0 24 3 6 6 24 6 18 24 0 24 6 0 15 21 18 0 0 0 9 0 0 0 0 0 0 18 18 9 9 18 9 18 9 18 9 18 9 18 18 18 9 9 18 9 9 9 9 18 9 9 18 0 18 9 18 18 18 18 0 0 18 0 0 0 9 0 9 9 0 0 9 9 18 9 0 18 0 0 9 generates a code of length 64 over Z27 who´s minimum homogenous weight is 121. Homogenous weight enumerator: w(x)=1x^0+192x^121+228x^122+180x^123+318x^124+186x^125+992x^126+630x^127+738x^128+1796x^129+552x^130+174x^131+108x^132+84x^133+18x^134+46x^135+72x^136+36x^137+28x^138+66x^139+66x^140+6x^141+30x^142+12x^143+2x^180 The gray image is a code over GF(3) with n=576, k=8 and d=363. This code was found by Heurico 1.16 in 26.8 seconds.