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 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 1 1 1 X X 1 0 X 0 1 X 1 1 X 1 1 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+3 X+6 0 2X+3 2X+6 X+3 X+6 3 6 2X+6 X+6 X 2X 2X+3 2X+3 X 6 X 3 0 3 X+3 X+6 X X+3 X 0 X+3 X+3 X+6 2X X+3 2X 2X+6 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 6 3 6 3 6 0 6 0 6 6 3 3 6 6 3 3 3 0 0 6 6 6 0 0 6 6 0 6 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 3 0 0 0 6 3 3 0 6 6 0 6 0 0 6 3 0 3 0 0 6 3 6 0 0 6 6 6 3 3 0 6 0 6 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 3 6 6 3 3 6 3 3 6 3 0 0 3 3 3 3 6 6 3 6 6 6 3 3 6 3 6 3 0 6 6 0 3 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 0 6 3 3 6 3 0 6 3 0 0 3 3 0 6 6 3 0 0 6 6 0 6 6 6 0 6 3 3 0 6 6 6 0 generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+130x^141+60x^142+6x^143+386x^144+156x^145+186x^146+558x^147+360x^148+636x^149+968x^150+1188x^151+1596x^152+2376x^153+2160x^154+2064x^155+2392x^156+1482x^157+1200x^158+466x^159+204x^160+126x^161+296x^162+168x^163+18x^164+208x^165+48x^166+144x^168+6x^169+36x^171+20x^174+16x^177+8x^180+6x^183+2x^186+2x^189+2x^195+2x^201 The gray image is a code over GF(3) with n=693, k=9 and d=423. This code was found by Heurico 1.16 in 2.94 seconds.