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 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 X 1 1 X 0 1 1 1 1 1 X X 1 X 1 X 1 0 X 2X 0 X+3 2X 6 X+3 2X+6 0 X+3 2X 3 X+6 2X+3 2X X+3 0 3 2X X 2X+6 3 X+3 X 0 2X 2X+6 0 X+6 0 X+3 2X+3 X 2X 6 X+3 0 X+3 6 2X+3 3 X X+6 X+3 0 2X+3 2X+6 X+3 3 X+6 6 2X+6 X+6 X 2X+3 2X 2X+3 6 X 3 X 2X+6 2X 2X+3 2X+3 X+3 X 6 0 6 2X+6 2X+6 X+3 2X 6 X+3 X+6 X+3 2X 0 0 6 0 0 0 0 0 3 0 3 3 0 6 0 6 6 0 0 6 0 6 0 3 6 6 0 3 6 6 3 3 6 6 0 6 6 3 0 6 6 3 0 0 0 6 3 3 0 3 6 6 3 6 0 0 6 6 3 3 6 6 0 0 3 0 3 6 3 0 3 0 3 6 0 3 3 0 6 0 0 0 0 6 0 0 3 0 0 6 3 3 6 6 6 0 3 3 6 6 6 6 3 0 6 6 6 6 0 6 3 0 0 3 0 3 0 6 3 3 3 6 6 0 3 0 0 6 3 0 3 6 6 0 6 0 0 6 0 3 0 3 0 3 3 6 0 6 3 6 0 6 3 0 3 0 3 6 0 3 0 0 0 0 3 0 0 6 0 3 3 6 6 3 3 6 6 0 6 0 3 6 3 6 6 0 6 0 6 0 6 6 6 6 0 6 3 0 6 3 0 0 3 6 3 6 3 3 6 3 3 6 3 0 0 3 3 3 6 6 3 3 3 0 0 6 0 3 3 6 3 3 3 6 6 6 6 3 0 3 0 0 0 0 0 6 0 0 3 3 0 3 6 0 6 3 6 6 3 3 6 6 0 0 3 0 6 0 0 3 0 3 6 0 3 6 3 3 6 6 0 6 3 6 0 3 3 6 3 6 0 3 0 0 3 0 3 6 3 0 0 6 3 3 3 3 3 3 0 0 0 0 0 6 0 6 6 0 6 3 generates a code of length 80 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+70x^147+144x^148+114x^149+134x^150+348x^151+312x^152+280x^153+546x^154+408x^155+1296x^156+1356x^157+492x^158+3438x^159+2376x^160+606x^161+3450x^162+1728x^163+522x^164+628x^165+342x^166+246x^167+40x^168+228x^169+162x^170+28x^171+156x^172+42x^173+22x^174+48x^175+12x^176+30x^177+18x^178+24x^180+14x^183+8x^186+6x^189+4x^195+2x^201+2x^210 The gray image is a code over GF(3) with n=720, k=9 and d=441. This code was found by Heurico 1.16 in 3.19 seconds.