The generator matrix 1 0 1 1 1 1 1 X+6 1 2X 1 1 1 1 0 1 1 X+6 1 1 2X 1 1 1 1 1 2X 1 1 0 1 1 X+6 1 1 1 1 1 1 1 1 X+6 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 3 1 1 X+6 1 1 0 1 2X+7 8 X+6 X+1 X+5 1 7 1 2X 2X+8 8 0 1 2X+7 X+5 1 X+1 X+6 1 7 2X 2X+8 8 7 1 0 X+5 1 2X+7 2X+8 1 2X X+1 X+6 2 2X+7 2X+8 2X 7 1 X+5 X+5 8 2X 1 X+6 X+2 0 X+1 0 7 X+6 4 2X+3 3 X+3 X+1 3 8 2X+8 8 1 1 2X+6 X+4 1 0 0 0 0 6 0 0 0 6 6 3 6 6 0 3 0 3 3 3 0 6 3 6 0 3 3 6 0 3 6 0 3 0 0 3 0 6 6 6 3 0 3 0 0 0 6 0 3 3 3 6 3 0 0 3 0 3 6 3 3 0 0 3 6 0 0 6 6 0 3 3 0 0 0 0 3 0 0 6 6 0 3 0 3 0 3 6 6 0 6 0 3 3 6 6 3 6 3 3 6 0 3 0 6 0 3 3 0 6 6 0 6 3 6 0 0 0 3 6 3 3 3 0 6 6 0 0 6 6 0 6 3 3 3 6 3 3 0 3 3 6 0 0 0 0 0 6 0 3 6 6 6 6 6 3 6 0 0 0 6 3 3 3 6 3 3 3 3 0 0 3 3 6 6 6 0 6 6 0 6 0 6 3 3 0 6 3 6 6 6 6 0 6 0 0 6 0 6 0 0 3 6 0 0 3 0 3 3 6 6 6 0 0 0 0 0 0 3 0 6 6 3 0 3 3 0 0 3 3 6 3 0 0 3 3 6 6 6 6 0 0 6 6 6 0 3 3 6 6 3 6 6 0 0 0 3 6 6 0 0 0 6 0 3 6 3 3 6 3 0 3 3 0 6 0 0 3 3 6 3 6 0 generates a code of length 70 over Z9[X]/(X^2+6,3X) 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 11.2 seconds.