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 3 1 1 3 3 1 1 1 3 1 3 1 3 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 0 6 3 6 3 0 3 6 6 0 0 6 0 6 3 6 0 6 6 6 3 3 0 6 0 3 3 6 3 3 0 6 3 3 0 3 0 0 3 3 6 0 3 6 0 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 3 6 0 6 0 3 3 0 6 6 3 6 3 6 3 3 6 3 0 6 0 3 3 6 0 6 0 0 0 6 6 3 6 6 3 6 3 6 3 3 3 6 0 6 3 3 0 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 0 6 6 0 3 3 3 3 6 3 6 3 3 6 3 0 3 0 0 6 6 6 6 6 0 0 0 0 6 6 0 3 6 3 0 6 0 0 6 3 0 3 3 0 0 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 0 3 6 0 3 0 0 0 6 3 6 3 3 3 6 3 3 6 0 3 3 3 6 6 0 6 6 3 3 0 3 3 3 6 6 6 6 3 6 0 6 3 6 0 6 0 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 6 3 6 0 0 3 6 3 6 3 6 6 6 6 6 0 3 3 6 0 3 0 0 0 3 3 0 0 3 0 0 6 0 6 0 0 0 0 0 3 3 3 0 3 3 6 3 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 0 3 3 0 3 0 0 6 3 0 3 0 6 0 6 0 0 0 3 3 3 0 3 6 0 6 0 6 6 0 6 3 6 0 0 0 6 6 6 3 6 6 0 6 6 3 3 generates a code of length 72 over Z9 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+58x^126+174x^129+6x^130+246x^132+12x^133+236x^135+180x^136+210x^138+600x^139+174x^141+1020x^142+148x^144+1440x^145+176x^147+852x^148+200x^150+264x^151+132x^153+110x^156+100x^159+82x^162+64x^165+32x^168+18x^171+20x^174+2x^177+2x^183+2x^195 The gray image is a code over GF(3) with n=216, k=8 and d=126. This code was found by Heurico 1.16 in 1.52 seconds.