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 X 1 1 X 1 1 1 X 1 1 1 1 X 1 1 X 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 6 3 6 3 3 0 0 3 3 0 6 3 3 0 3 3 6 6 0 0 3 0 6 3 6 0 6 0 0 6 6 0 3 6 3 3 0 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 0 6 0 6 0 6 3 3 6 3 3 0 3 6 3 6 0 3 0 3 0 0 3 6 6 3 3 3 0 0 3 3 6 0 3 6 6 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 3 0 3 3 6 3 3 0 0 6 3 3 0 0 3 3 0 6 6 6 6 6 0 3 6 0 3 6 6 3 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 3 0 6 6 6 6 0 3 3 6 3 3 0 6 3 3 0 3 3 0 0 6 0 0 3 6 0 0 6 3 3 0 3 6 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 6 0 6 3 3 6 3 6 0 6 3 6 0 3 0 3 0 6 0 3 0 0 3 6 6 6 0 6 0 3 0 3 0 0 6 6 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 3 3 6 6 3 6 3 3 6 0 0 3 0 3 0 6 0 6 6 6 3 3 0 3 3 3 3 3 3 3 0 0 0 0 3 6 0 generates a code of length 73 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+116x^129+198x^132+228x^135+18x^136+238x^138+180x^139+210x^141+720x^142+184x^144+1440x^145+13122x^146+166x^147+1440x^148+164x^150+576x^151+136x^153+134x^156+118x^159+96x^162+78x^165+58x^168+24x^171+24x^174+6x^177+6x^180+2x^204 The gray image is a code over GF(3) with n=657, k=9 and d=387. This code was found by Heurico 1.16 in 76.4 seconds.