The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 0 1 1 1 1 1 21 1 24 1 1 1 0 1 1 1 1 1 21 1 1 1 1 1 1 1 1 24 21 1 6 1 1 1 1 1 1 0 1 21 1 1 12 1 1 1 24 1 1 24 1 1 0 1 7 26 21 4 20 1 24 19 23 1 1 0 16 26 20 4 1 21 1 23 24 19 1 4 16 23 24 19 1 20 0 19 24 19 21 0 26 1 1 20 1 16 20 16 4 10 24 1 26 1 23 26 1 5 23 10 1 8 17 1 0 0 0 0 9 0 0 0 18 18 9 9 9 0 9 0 9 0 9 9 18 18 9 9 0 9 0 18 18 9 9 0 0 0 18 0 0 18 9 0 9 18 18 18 18 0 0 0 9 0 18 9 18 9 9 9 18 9 0 9 9 0 18 9 9 0 0 0 0 9 0 0 18 18 18 0 9 9 18 9 18 0 18 9 18 0 18 0 18 18 0 0 18 0 9 18 9 0 18 9 18 0 0 18 18 18 0 0 9 18 18 9 9 9 9 0 18 9 18 18 9 18 0 9 18 18 18 0 9 0 0 0 0 0 18 0 18 9 9 18 18 9 0 0 0 18 0 0 9 9 9 18 18 9 18 0 18 0 18 0 0 9 9 9 18 0 18 18 0 18 9 0 0 9 18 0 9 9 0 0 9 0 18 18 18 9 9 9 0 9 18 18 0 0 0 0 0 0 0 9 18 0 18 18 18 18 18 18 9 9 18 0 18 9 18 0 0 0 9 9 0 9 0 9 9 9 18 0 9 0 0 18 0 18 18 9 18 9 9 0 18 9 9 0 9 9 0 9 18 18 0 0 0 9 9 18 0 9 generates a code of length 64 over Z27 who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+28x^114+78x^116+242x^117+126x^118+408x^119+990x^120+732x^121+1764x^122+2376x^123+2394x^124+5208x^125+5418x^126+4566x^127+7596x^128+6716x^129+4632x^130+6504x^131+4184x^132+1974x^133+1614x^134+872x^135+114x^136+96x^137+170x^138+36x^139+48x^140+54x^141+6x^142+12x^143+36x^144+20x^147+10x^150+8x^153+6x^156+8x^159+2x^162 The gray image is a code over GF(3) with n=576, k=10 and d=342. This code was found by Heurico 1.16 in 10.2 seconds.