The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 2X 1 1 0 1 1 X+3 1 1 1 1 1 1 1 1 X+3 1 1 1 1 1 1 1 1 0 X+3 0 1 1 2X 1 2X 1 1 1 2X+6 1 X+6 1 1 1 2X+6 6 X+3 1 1 1 1 1 1 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 8 2X+4 1 0 X+2 1 X+1 4 1 5 X+3 2X+8 2X 4 2X X+1 2X+8 1 X+2 X+3 X+2 4 2X 8 7 0 1 1 1 2X+4 X+3 1 X+7 1 X+5 2X+6 2X+4 1 X+6 1 X+1 0 2X+8 1 1 1 4 X+8 X+7 8 6 X+2 2X+6 X+2 0 2X+4 0 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 6 3 0 6 6 3 0 6 3 0 6 0 6 6 3 3 0 0 0 6 3 0 0 0 6 3 6 6 0 6 0 6 3 3 3 0 0 6 6 3 3 0 3 0 6 3 3 3 3 0 3 0 3 3 6 0 6 0 0 0 3 0 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 6 6 3 3 6 3 6 6 3 0 6 0 3 0 3 0 3 6 6 3 6 0 3 0 6 0 0 6 0 6 3 3 6 6 6 0 6 6 3 6 3 3 6 3 0 0 3 3 0 6 3 6 0 0 3 6 3 6 3 3 6 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 6 6 3 6 6 6 6 0 0 6 6 3 3 3 0 3 3 0 6 3 3 0 6 0 3 3 3 3 6 6 0 3 3 6 0 3 0 3 6 3 3 6 6 6 6 6 0 3 0 3 0 0 6 3 0 6 3 0 6 6 3 0 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 0 0 6 6 3 3 3 3 0 0 3 3 6 0 3 3 3 6 0 3 6 3 0 0 0 6 6 3 3 3 6 0 0 6 0 6 0 3 3 0 3 6 3 0 0 3 3 0 6 3 0 6 3 6 3 6 0 0 0 6 3 0 generates a code of length 81 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+40x^147+114x^149+160x^150+90x^151+456x^152+810x^153+1008x^154+1176x^155+1950x^156+2844x^157+2022x^158+5330x^159+5094x^160+3186x^161+7066x^162+7254x^163+3090x^164+5890x^165+4284x^166+2100x^167+2352x^168+1296x^169+672x^170+266x^171+270x^173+86x^174+30x^176+22x^177+6x^179+22x^180+14x^183+18x^186+6x^189+10x^192+2x^195+6x^198+2x^201+4x^207 The gray image is a code over GF(3) with n=729, k=10 and d=441. This code was found by Heurico 1.16 in 12.8 seconds.