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 X 1 1 1 1 X 1 1 0 1 1 1 1 1 X 1 0 1 1 X 1 1 1 1 1 X 1 1 1 X X X 1 1 X 1 1 1 1 1 0 X 2X 0 X+6 2X 0 X+6 2X 3 X+6 2X 2X+3 0 X+6 X+3 2X+3 3 2X 0 X+6 X+3 0 2X 2X+3 X 0 2X+3 6 X+6 2X+6 X 2X 6 X 2X+6 2X+3 X X+6 3 2X 2X 6 2X X+6 2X+3 X 2X+3 6 2X X+6 X+3 X+6 2X+6 X 2X+6 2X+3 2X 6 X+6 6 X+6 6 X+6 0 2X X+3 2X 2X X+6 X X+3 X+6 X+6 6 0 3 0 0 0 3 0 0 0 0 6 3 0 3 6 6 0 0 3 0 0 3 6 6 3 3 6 3 3 3 3 3 3 3 0 6 3 6 0 0 6 6 3 0 3 6 0 0 0 3 6 6 0 6 3 3 3 3 3 0 6 0 6 0 3 6 3 6 6 6 0 3 6 0 6 0 6 3 3 0 0 0 0 0 3 0 0 0 0 0 6 0 3 6 3 3 3 3 6 3 6 3 3 0 6 6 0 3 6 3 3 0 6 0 0 0 3 3 6 6 0 6 3 0 3 3 6 0 0 6 6 6 3 3 0 0 6 6 3 6 3 3 6 3 0 3 0 3 3 6 6 6 0 3 3 6 0 3 0 0 0 0 0 6 0 3 6 3 3 0 3 6 0 6 0 6 0 6 6 0 0 6 3 0 0 6 6 6 6 6 6 3 3 6 0 6 6 6 0 0 0 6 3 3 0 3 0 6 3 3 3 3 3 0 0 6 3 0 3 6 6 6 6 3 6 0 6 3 3 6 0 0 6 6 3 3 0 0 0 0 0 0 3 3 0 6 3 0 0 3 3 6 6 3 3 0 6 0 0 6 3 6 3 3 3 0 3 0 6 0 3 6 3 0 6 0 3 3 3 6 3 0 6 3 3 3 0 6 0 0 0 6 3 6 3 0 3 0 0 3 3 0 3 3 6 3 0 0 3 3 3 0 0 0 0 generates a code of length 78 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+32x^141+30x^142+24x^143+74x^144+210x^145+210x^146+94x^147+378x^148+552x^149+106x^150+864x^151+1650x^152+96x^153+1758x^154+3876x^155+72x^156+2064x^157+3924x^158+50x^159+1272x^160+1008x^161+34x^162+384x^163+282x^164+36x^165+204x^166+114x^167+20x^168+102x^169+18x^170+40x^171+24x^172+6x^173+20x^174+20x^177+12x^180+8x^183+4x^186+4x^189+2x^192+2x^195+2x^201 The gray image is a code over GF(3) with n=702, k=9 and d=423. This code was found by Heurico 1.16 in 3.11 seconds.