The generator matrix 1 0 0 0 1 1 1 3 1 1 1 1 1 1 1 2X+3 X 1 1 1 1 1 1 1 X+6 2X+6 1 X 1 1 1 1 2X+6 2X+3 2X 1 1 1 1 X+3 X 1 1 1 1 6 1 1 1 2X+3 1 1 1 X+3 1 1 1 6 1 1 1 1 1 1 1 1 X 2X+3 0 1 0 1 0 0 3 1 7 1 X X+6 2X+8 2X+5 X+7 6 X+4 1 X+6 2X+4 8 X+5 X+5 2X+4 X+6 X+8 1 X+3 2X+7 1 2X+5 X+7 2X+8 7 1 1 1 X X 4 5 1 1 X 4 2X 6 2X X+3 2X+5 5 1 0 2X 2X+7 1 X+2 X+8 7 1 X+4 2X+2 2X 8 X+1 4 0 8 1 1 1 3 0 0 1 0 2X+4 2X+1 X+2 2X+4 X+1 X+5 6 4 X+7 X+6 2X 4 1 X 2X+2 2X+6 X 5 2X+5 X+1 X+8 1 2X+3 2X+6 2X+8 X+8 2 2X+7 2X+5 X+1 5 2 2X+7 0 X+4 2X+7 X+3 6 4 2X+7 7 1 X+3 1 2 X+5 2X+3 2X+3 2X+6 2X+8 1 2X+3 2X+2 X+6 6 2X+5 2X+2 X+5 X+5 X+8 X+3 2 0 X+1 3 0 0 0 0 1 2X+2 6 2X+8 2X+8 7 X 1 X+6 5 2 X+7 X+1 X+2 3 2X+7 2X+5 X+6 2X X+1 2X+7 X+3 1 5 X+5 2X+6 1 X+8 4 2X+2 0 7 8 2X 2X+6 2X+8 6 X+1 X+1 X+7 2X+5 4 X+7 2X+2 2X+5 7 2X+5 X 2 2X+1 2X 2X+1 7 0 X+2 X+2 X+6 2X+8 X+8 2 0 2X+1 2X+7 1 2X+8 4 0 generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+546x^128+884x^129+3696x^130+6168x^131+7560x^132+13758x^133+16902x^134+20652x^135+31044x^136+35700x^137+40928x^138+51624x^139+52920x^140+51082x^141+53790x^142+44688x^143+33092x^144+28626x^145+17796x^146+8820x^147+6372x^148+2874x^149+968x^150+522x^151+162x^152+24x^153+72x^154+84x^155+2x^156+30x^157+30x^158+6x^159+6x^160+6x^161+6x^162 The gray image is a code over GF(3) with n=630, k=12 and d=384. This code was found by Heurico 1.16 in 486 seconds.