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 1 1 3 1 3 1 3 1 1 1 1 1 1 1 1 3 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 6 3 3 6 3 6 3 0 6 6 3 3 0 6 0 0 3 6 3 6 0 3 3 3 0 0 3 3 3 3 3 6 0 3 0 3 3 0 3 6 0 3 3 6 0 0 6 0 3 0 3 3 3 0 0 3 0 0 0 0 0 0 0 0 3 6 6 6 6 0 3 0 3 3 6 3 6 0 6 0 3 0 6 0 0 3 6 0 3 6 0 6 3 3 3 0 6 6 3 0 6 3 6 3 3 0 0 3 6 0 3 3 6 0 3 0 0 3 3 3 0 0 3 6 6 3 0 0 0 3 0 0 0 0 3 6 6 6 0 0 3 0 3 6 3 6 6 6 6 0 0 6 6 6 6 6 3 6 6 0 6 0 3 6 6 3 0 3 0 0 3 3 6 3 3 3 6 0 3 3 3 6 6 3 6 6 3 6 6 3 0 6 0 3 0 3 6 0 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 6 3 3 3 6 3 0 6 3 6 3 3 3 6 6 6 6 6 6 3 6 3 6 6 0 3 0 3 6 3 6 6 3 0 0 3 6 3 6 0 6 3 6 6 6 3 3 0 3 0 3 6 6 6 3 0 3 6 3 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 6 0 3 0 0 6 6 0 3 0 0 3 6 3 6 6 0 0 6 3 6 0 6 6 6 3 3 6 3 0 3 3 6 3 0 6 3 6 6 3 0 6 3 0 3 6 3 6 0 0 0 3 0 3 6 0 3 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 3 0 6 0 0 3 0 6 6 6 6 3 6 6 3 3 6 6 6 0 0 6 6 3 0 3 3 3 6 6 0 3 6 0 6 0 3 3 0 3 3 6 6 3 3 0 6 6 0 3 3 0 6 0 0 0 3 0 generates a code of length 73 over Z9 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+132x^129+206x^132+212x^135+270x^138+632x^141+1520x^144+1858x^147+1008x^150+164x^153+138x^156+146x^159+92x^162+72x^165+50x^168+30x^171+14x^174+10x^177+4x^180+2x^207 The gray image is a code over GF(3) with n=219, k=8 and d=129. This code was found by Heurico 1.16 in 6.9 seconds.