The generator matrix 1 0 0 1 1 1 1 1 1 X 1 1 6 1 1 X+3 1 1 X+3 1 1 X+3 1 2X 1 1 1 1 3 1 1 1 2X+6 X 1 1 1 1 2X 1 X+3 1 2X+3 1 1 1 1 1 2X+3 1 1 X+3 X+3 X+3 2X+3 1 2X+3 1 1 3 1 1 1 2X+3 1 1 1 1 2X 1 X 2X 1 1 X 2X+3 1 1 0 1 0 0 6 2X+4 2 8 X+8 1 1 2X+7 1 X+3 2X+2 1 2X+2 2X+1 1 2X+6 6 2X+3 8 1 1 X+5 2X+3 7 X X+2 7 X+3 1 1 6 2 X 4 1 2X+2 3 2X+7 1 X+4 2X+7 X+4 2X+6 2X+8 X 6 3 1 X+6 1 1 X+2 1 1 8 1 X+7 2X 2X+8 6 2X+3 0 X+1 X+6 1 X 1 1 X+4 2X+2 2X+3 1 7 0 0 0 1 2X+4 2 5 X+2 0 1 2X+1 2X+7 2X 5 2X+3 2X+7 5 X+3 X+4 X+4 2X+4 2X+2 1 2X+8 6 2X+6 2 5 X+8 1 X+4 6 X+6 1 X+8 X+7 X+3 5 2X+2 X+3 0 1 X+3 2X+1 2X+4 X+8 X+5 0 X+7 1 7 X+5 X+3 1 1 5 X+6 4 X+1 6 X+2 2X 2X+3 2X+4 1 X+3 3 X+7 2X X+8 X+4 X+2 X+4 7 2X+1 1 3 X+8 2X+6 0 0 0 3 3 3 3 3 3 0 3 3 0 3 6 3 0 6 6 6 6 3 0 3 6 6 0 6 6 0 0 6 3 6 0 0 0 0 6 6 0 3 0 0 6 3 3 6 3 0 6 3 3 6 3 3 0 6 6 6 3 0 0 6 3 6 0 6 0 0 0 3 3 3 0 0 0 6 generates a code of length 78 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+410x^147+924x^148+1404x^149+2852x^150+4140x^151+2892x^152+5098x^153+4374x^154+4002x^155+6488x^156+5202x^157+4200x^158+5126x^159+3456x^160+2526x^161+2518x^162+1902x^163+498x^164+522x^165+342x^166+12x^167+42x^168+36x^169+18x^170+6x^171+24x^172+8x^174+12x^175+8x^177+6x^183 The gray image is a code over GF(3) with n=702, k=10 and d=441. This code was found by Heurico 1.16 in 9.71 seconds.