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 X X 1 1 1 1 1 1 0 1 1 X X 0 1 1 1 1 X X X 1 1 X X X 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X 2X+6 0 X+3 X+6 2X+6 6 2X 0 X+3 X+6 0 2X 2X+6 X 0 2X+6 3 X+3 2X+3 X 2X 3 X 2X+3 0 3 2X 2X+3 3 0 2X+6 X+3 2X 3 2X+6 6 2X 2X+6 6 X 3 2X+6 X+3 2X X 6 X+6 2X 2X+3 X+3 2X X+3 X+3 X 2X X+3 X+3 0 0 0 6 0 0 0 0 3 6 0 6 3 3 0 0 6 0 0 6 3 3 6 6 3 6 6 6 6 6 6 6 0 3 6 3 0 6 3 6 0 6 3 0 3 3 0 0 3 3 0 6 0 0 3 3 3 3 0 6 0 0 3 6 6 0 0 6 3 6 0 0 0 0 6 0 0 0 0 0 3 0 6 3 6 6 6 6 3 6 3 6 6 0 3 3 0 6 3 6 6 0 3 0 0 0 6 6 6 0 3 6 3 6 0 6 3 0 3 6 0 0 3 3 6 6 0 6 3 3 3 3 6 6 0 6 3 6 0 6 0 0 0 0 0 3 0 6 3 6 6 0 6 3 0 3 0 3 0 3 3 0 0 3 6 0 0 3 3 3 3 3 3 6 6 3 0 6 0 0 6 0 3 3 3 3 0 3 6 3 0 0 0 6 0 6 3 0 6 0 3 3 6 0 3 0 6 3 0 6 6 0 0 0 0 0 6 6 0 3 6 0 0 6 6 3 3 6 6 0 3 0 0 3 6 3 6 6 6 0 6 0 3 0 6 3 6 0 6 6 3 0 6 3 6 3 0 0 3 0 3 6 0 0 6 3 3 3 3 6 6 3 0 3 3 3 6 3 6 6 3 generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+32x^126+120x^128+202x^129+450x^131+360x^132+852x^134+720x^135+486x^136+1650x^137+1590x^138+1944x^139+2400x^140+1998x^141+1944x^142+1866x^143+1136x^144+1062x^146+204x^147+228x^149+148x^150+90x^152+64x^153+30x^155+40x^156+22x^159+14x^162+14x^165+10x^168+4x^171+2x^174 The gray image is a code over GF(3) with n=630, k=9 and d=378. This code was found by Heurico 1.16 in 2.61 seconds.