The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 2X 1 1 0 1 1 X+3 1 1 1 1 1 1 1 1 X+3 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 6 1 1 X+3 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 8 4 1 0 X+2 1 2X+4 2X+8 1 2X X+1 X+3 5 2X+4 2X+8 2X 4 1 X+2 X+2 8 2X 1 X+3 X+5 0 X+1 0 4 X+3 7 2X+6 6 X+6 X+1 6 8 2X+8 8 1 1 2X+3 X+7 1 0 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 6 3 0 6 6 3 0 6 3 0 6 0 0 6 0 3 3 3 6 0 6 0 0 0 3 0 6 6 6 3 6 0 0 6 0 6 3 6 6 0 0 6 3 0 0 3 3 0 6 6 0 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 6 6 3 3 6 3 6 6 3 0 6 0 3 0 6 6 0 3 3 0 3 6 3 0 0 0 6 3 6 6 6 0 3 3 0 0 3 3 0 3 6 6 6 3 6 6 0 6 6 3 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 6 6 3 6 6 6 6 0 0 6 6 3 3 3 0 3 3 0 3 0 3 6 6 0 3 6 3 3 3 3 0 3 0 0 3 0 3 0 0 6 3 0 0 6 0 6 6 3 3 3 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 0 0 6 6 3 3 3 3 0 0 3 3 3 0 6 6 3 3 6 3 3 0 0 0 6 3 3 0 0 0 3 0 6 3 6 6 3 6 0 6 6 0 3 0 0 6 6 3 6 3 0 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+80x^126+6x^127+144x^128+262x^129+138x^130+792x^131+868x^132+486x^133+2544x^134+2108x^135+1584x^136+6570x^137+3894x^138+3426x^139+10860x^140+5106x^141+2928x^142+8112x^143+3142x^144+1488x^145+2724x^146+938x^147+108x^148+282x^149+158x^150+42x^151+36x^152+128x^153+12x^155+24x^156+10x^159+12x^162+10x^165+8x^168+8x^171+2x^174+6x^177+2x^180 The gray image is a code over GF(3) with n=630, k=10 and d=378. This code was found by Heurico 1.16 in 10.9 seconds.