The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 2X 1 1 1 X+3 1 1 1 1 1 0 1 1 1 X+3 1 1 2X 1 1 1 1 1 1 1 X+3 1 X+3 1 1 0 1 2X 1 1 1 X+6 1 1 2X 1 1 1 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 6 1 X+3 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 1 X+1 X+2 X+3 1 2X 4 2X+8 X+3 8 1 2X+4 2X+8 4 1 X+1 0 1 X+2 2X X+1 0 8 2X+8 X+3 1 X+3 1 2X+8 2X+4 1 2X+4 1 X+2 X+7 2X+6 1 0 2X 1 5 2X X+6 8 2X+6 1 1 X+6 2X+5 X+2 X+5 2X+7 X+6 4 X+1 2X+4 4 X+2 X+3 1 2X 1 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 0 6 6 6 6 0 3 6 6 3 6 0 0 3 6 0 6 0 3 6 3 6 3 3 6 0 3 3 6 3 3 0 3 3 6 6 3 6 3 0 0 0 0 0 6 3 6 3 0 6 3 0 0 0 0 6 6 0 6 6 0 6 0 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 6 6 3 6 0 6 3 0 3 3 3 0 6 3 6 0 3 3 6 6 6 6 6 0 6 0 3 6 6 3 0 3 0 3 0 0 3 0 6 6 0 0 6 6 0 0 3 3 0 6 3 6 3 0 6 3 0 3 0 3 6 0 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 3 0 0 3 3 3 3 0 0 0 0 3 6 6 3 3 0 0 3 6 6 6 3 3 3 0 6 0 3 0 0 6 0 6 3 6 0 6 0 6 0 0 6 0 0 6 6 6 3 6 6 3 6 6 0 3 0 3 0 6 6 6 3 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 3 6 0 0 6 6 6 6 0 0 3 0 6 6 6 3 6 6 6 3 0 3 0 6 6 0 3 3 3 6 6 0 6 3 6 3 6 6 0 3 6 6 3 0 0 0 3 3 3 0 6 6 6 0 6 0 6 6 0 3 6 6 generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 142. Homogenous weight enumerator: w(x)=1x^0+66x^142+138x^144+318x^145+378x^146+706x^147+900x^148+1152x^149+2414x^150+1614x^151+3582x^152+4904x^153+2676x^154+6444x^155+7046x^156+3702x^157+6624x^158+6246x^159+2382x^160+3384x^161+2156x^162+1086x^163+306x^164+264x^165+258x^166+62x^168+96x^169+48x^171+24x^172+14x^174+14x^177+10x^180+12x^183+10x^186+6x^189+2x^192+2x^195+2x^201 The gray image is a code over GF(3) with n=702, k=10 and d=426. This code was found by Heurico 1.16 in 44.4 seconds.