The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 1 1 0 1 1 21 1 1 1 24 1 1 1 1 1 1 1 1 1 9 12 6 1 1 1 1 1 1 9 12 1 1 1 6 1 1 1 12 1 1 1 1 1 1 1 1 1 9 1 0 1 7 26 4 21 20 1 24 19 23 1 0 16 26 24 1 4 23 1 21 19 20 1 9 12 16 13 6 10 8 11 5 1 1 1 9 12 7 13 8 11 1 1 6 10 14 1 9 7 26 1 0 21 24 12 4 13 19 16 20 1 18 0 0 9 0 18 18 9 9 9 0 18 18 9 18 9 18 18 0 0 0 0 9 18 9 18 9 0 9 0 18 18 0 9 9 18 0 9 0 0 18 9 18 0 9 9 0 9 9 0 18 18 0 18 9 0 18 9 0 18 9 0 18 0 generates a code of length 63 over Z27 who´s minimum homogenous weight is 122. Homogenous weight enumerator: w(x)=1x^0+120x^122+126x^123+252x^124+636x^125+364x^126+144x^127+258x^128+12x^129+90x^130+120x^131+54x^132+4x^135+2x^138+4x^147 The gray image is a code over GF(3) with n=567, k=7 and d=366. This code was found by Heurico 1.16 in 0.0911 seconds.