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 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 6 1 X 1 1 0 X 0 0 2X X+3 2X+3 X 2X X+3 3 0 X+3 2X+3 6 2X+3 2X X+3 X+3 X+6 X+6 2X 2X+6 2X+3 X+6 0 6 X 6 2X+6 X+3 6 2X+6 2X 6 3 2X 2X+3 2X X+3 2X+6 0 X 0 2X X X 6 3 X+3 2X X+3 2X+6 0 6 X+6 X X 0 2X+3 3 6 X X+6 3 0 2X 6 3 6 0 0 X 2X 0 2X+6 X+6 X 2X+6 2X+3 X 3 X+6 X+6 2X 0 2X 3 2X+6 0 X+6 6 X 2X+6 3 3 X+3 2X 2X+3 X+6 X+6 3 2X+6 6 0 2X 2X+3 X 0 X+3 3 2X+6 6 X+3 2X+6 0 6 2X+6 X X+6 0 2X+3 X+6 3 X 3 2X+3 X+6 2X 3 X X 3 0 X+6 X 3 X X 6 0 0 0 6 0 0 3 0 0 6 3 6 3 6 3 6 6 0 0 6 3 3 6 6 0 0 6 3 0 6 6 6 0 0 3 0 3 3 0 6 6 6 3 6 3 3 6 3 3 3 3 3 0 0 3 6 0 6 0 3 0 0 6 3 3 3 3 6 6 0 0 0 0 0 6 3 0 6 3 0 3 6 0 0 0 6 3 6 6 3 3 6 6 6 3 6 6 3 3 3 0 0 6 0 6 6 0 6 3 6 3 6 3 0 3 0 6 3 6 6 0 0 6 3 0 6 6 3 0 3 3 6 0 6 6 0 0 0 6 0 generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+136x^129+156x^130+168x^131+500x^132+282x^133+282x^134+684x^135+780x^136+936x^137+2038x^138+2052x^139+2988x^140+3442x^141+1914x^142+1164x^143+422x^144+366x^145+138x^146+336x^147+120x^148+96x^149+212x^150+84x^151+30x^152+192x^153+60x^154+24x^155+42x^156+12x^157+6x^158+4x^159+6x^160+6x^162+2x^165+2x^192 The gray image is a code over GF(3) with n=630, k=9 and d=387. This code was found by Heurico 1.16 in 2.32 seconds.