The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 1 X+3 1 1 1 1 2X 1 1 1 2X 1 1 1 1 0 1 1 1 3 1 1 1 1 1 1 1 2X+3 1 1 1 0 1 1 1 0 1 1 2X+3 2X 1 1 1 1 1 1 2X+6 1 1 1 1 1 1 1 6 1 1 1 1 1 X 0 1 1 8 X+3 2X X+2 1 2X+8 1 2X+4 X+1 3 2 1 X+4 2X+3 2X+8 1 1 2X+1 8 X+5 1 X X+8 2X+2 1 3 2X+4 5 X+3 1 2X+6 X+1 5 1 1 X+1 0 X+1 2X+7 5 X+5 1 7 2X+8 X+5 1 2X+5 6 2X 1 X+1 X+8 1 1 X+4 2 X+3 5 0 2X+4 1 2X+4 2X+5 2X+3 2X+5 4 7 2X+7 X X+3 2X+6 2X+2 4 2X+5 X+3 0 0 2X 0 0 6 3 6 0 6 2X+3 2X X+3 X+6 2X+6 X X+3 2X+3 2X X+6 X 2X+3 2X 2X+6 X X X+6 2X+6 X+6 2X+6 2X 3 3 2X+3 6 3 X+3 X 2X+6 2X 0 X+6 2X+6 2X+3 X+3 3 3 X+3 X X+6 6 2X 3 2X 0 2X+3 X+6 X 2X+6 3 X X 3 2X+6 6 2X+6 3 3 2X X+3 X+6 X+6 X 2X+3 0 X+6 0 2X+3 0 0 0 6 0 0 0 3 3 6 3 6 6 0 0 6 0 3 6 3 0 0 6 0 3 6 3 6 0 3 3 3 6 6 6 6 0 3 6 3 0 6 0 6 6 3 0 0 3 0 3 0 3 3 3 3 6 3 6 6 6 3 0 0 6 0 3 0 6 0 3 0 3 0 3 0 6 0 0 0 0 0 3 6 6 0 3 0 3 6 3 3 6 3 3 6 6 0 6 0 3 0 6 0 6 3 6 6 3 0 3 0 6 6 0 6 3 0 6 0 3 6 6 3 3 0 3 6 3 3 3 0 0 0 0 3 0 0 6 3 0 3 3 6 6 0 0 0 0 3 0 6 6 3 3 0 generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+198x^145+600x^146+310x^147+1050x^148+1986x^149+1902x^150+2574x^151+3744x^152+4094x^153+3630x^154+5364x^155+6418x^156+5298x^157+5394x^158+5374x^159+3348x^160+3492x^161+1392x^162+930x^163+978x^164+136x^165+276x^166+162x^167+8x^168+126x^169+96x^170+26x^171+48x^172+24x^173+10x^174+18x^175+18x^176+6x^177+12x^179+4x^180+2x^183 The gray image is a code over GF(3) with n=702, k=10 and d=435. This code was found by Heurico 1.16 in 12 seconds.