The generator matrix 1 0 0 1 1 1 1 0 1 1 1 1 6 18 1 24 1 9 1 1 1 1 1 1 1 21 1 1 1 6 1 3 1 15 3 1 1 1 12 1 1 1 21 1 1 1 24 1 3 1 1 1 1 1 1 1 1 1 9 24 1 1 0 1 0 1 0 0 9 16 17 1 16 26 17 25 1 21 26 1 18 1 3 20 13 21 1 11 10 1 22 2 13 1 6 21 5 1 1 19 3 1 1 15 12 23 1 1 22 0 18 12 1 24 4 26 24 14 25 22 26 14 9 21 6 19 1 5 0 0 1 7 17 8 20 5 18 24 19 1 7 1 4 23 24 25 1 15 10 14 21 8 26 18 4 21 23 19 7 1 16 22 3 0 11 22 26 12 12 4 5 0 23 10 1 8 9 19 26 25 26 1 22 6 14 4 1 1 5 19 25 9 0 0 0 9 18 18 18 18 0 0 9 9 9 9 18 0 18 0 18 9 18 9 9 9 9 9 0 18 0 18 0 18 0 9 9 18 9 18 9 9 18 9 18 9 18 0 0 0 18 18 9 18 0 0 0 0 0 18 18 9 9 18 9 0 generates a code of length 64 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+448x^120+1764x^121+2346x^122+2718x^123+4572x^124+4104x^125+4508x^126+6552x^127+5916x^128+4100x^129+6654x^130+4674x^131+3288x^132+3528x^133+1668x^134+1110x^135+684x^136+204x^137+54x^138+36x^139+36x^140+36x^141+18x^142+6x^143+18x^144+6x^148 The gray image is a code over GF(3) with n=576, k=10 and d=360. This code was found by Heurico 1.16 in 7.63 seconds.