The generator matrix 1 0 1 1 1 1 21 1 1 24 1 1 1 0 1 1 18 1 3 15 1 1 1 1 1 1 1 1 1 1 1 1 24 1 1 24 1 1 1 1 15 18 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 1 0 1 1 26 21 20 1 24 23 1 16 4 0 1 24 25 1 2 1 1 17 22 21 1 14 16 2 0 20 9 22 24 1 4 15 1 26 19 25 25 1 1 5 5 21 17 3 6 2 5 9 9 22 13 0 19 18 7 20 15 19 1 9 7 0 0 24 0 18 18 18 0 18 18 15 24 6 24 6 21 3 3 12 12 12 21 15 3 12 18 12 9 15 15 3 9 15 9 12 18 15 9 21 6 3 9 21 15 12 18 6 3 18 21 18 3 24 6 15 18 3 6 0 12 3 18 24 15 0 0 0 9 9 0 18 18 18 9 18 9 18 9 0 18 9 18 0 18 0 9 9 0 9 9 0 18 18 0 0 0 18 18 18 0 0 0 0 0 9 9 0 18 18 0 18 9 18 18 18 0 0 18 9 9 9 9 9 0 18 18 0 9 generates a code of length 64 over Z27 who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+282x^120+270x^121+612x^122+1158x^123+1488x^124+1284x^125+1900x^126+1896x^127+1662x^128+2296x^129+2202x^130+1248x^131+1392x^132+840x^133+444x^134+384x^135+54x^136+48x^137+72x^138+30x^139+30x^140+30x^141+12x^142+14x^144+12x^145+18x^146+2x^147+2x^153 The gray image is a code over GF(3) with n=576, k=9 and d=360. This code was found by Heurico 1.16 in 1.15 seconds.