The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 1 0 1 0 1 1 0 1 2X 1 1 1 1 1 X 0 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 X 1 2X X 1 X 0 1 X 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 X+1 X+2 1 1 0 2X+1 2 X+1 X 2 1 0 1 2 2X+1 1 2X+2 1 0 X 2X+1 2X+1 2X+2 1 1 2X+1 X 1 2X+1 0 1 2X 2 X+1 1 2X 0 1 2X+2 2X+2 2X+2 1 2X 1 X+2 1 X+1 1 1 X 1 1 2X+2 1 2X 2X 1 X+2 X+2 X+2 X+1 2X 1 2X+1 X 1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X 0 X 2X X 2X 0 X 2X 2X 2X X X 0 2X X 2X 2X X 2X 2X 2X 0 0 X X 0 2X X X 0 0 X X X 0 0 2X 2X 0 2X 0 0 X 0 2X 2X 2X 0 0 2X X 2X 2X X 0 X 0 X 2X 2X 0 X 2X X 2X 0 0 0 0 X 0 0 0 0 0 0 0 2X 0 0 2X X 2X 0 X X 2X 0 2X 0 0 2X 2X X X X 2X X 2X X X X X 0 0 X 2X X 2X 2X X 2X 0 2X X X 0 X X 2X 0 2X X X 0 0 0 X X 0 2X X 2X 2X 2X X X 2X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 2X 0 0 2X 0 2X 2X X 2X 2X 0 2X X 0 0 X 0 0 X X X 0 X 0 2X 2X 2X 2X X 0 2X 0 2X 0 X X 2X X X 0 2X 2X 0 2X 0 X 2X X X 0 2X 0 2X 2X 0 0 2X 0 X 2X X 0 0 2X X 0 0 0 0 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 2X X 0 2X X 2X 0 0 2X 0 0 X 2X 0 0 0 2X X 0 2X X 0 2X X 0 X 0 2X X 2X X X 2X 2X X X 2X 2X X 2X 0 2X 2X 0 0 2X 0 0 X X X 2X X 0 0 0 0 0 0 0 X 2X 2X 2X 0 2X 2X 2X X 2X 0 2X X 2X X 2X X X 2X 0 X 2X 2X 0 0 2X 0 0 X X X 0 2X 2X X X 0 0 X 2X 0 2X 0 2X 0 X 2X 0 2X 2X X 0 2X 0 0 0 2X X 2X 2X 0 2X 0 X 0 X 2X 2X X X X 2X 2X 0 generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+66x^141+12x^142+182x^144+186x^145+358x^147+594x^148+512x^150+1050x^151+642x^153+1422x^154+772x^156+1812x^157+960x^159+2448x^160+900x^162+2268x^163+798x^165+1812x^166+662x^168+942x^169+250x^171+444x^172+170x^174+102x^175+86x^177+30x^178+66x^180+56x^183+30x^186+32x^189+6x^192+4x^195+6x^198+2x^204 The gray image is a linear code over GF(3) with n=240, k=9 and d=141. This code was found by Heurico 1.16 in 9.09 seconds.