The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 X 1 1 1 1 1 1 0 0 1 2X 1 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 1 0 0 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 X 1 0 0 1 X 1 2X 1 1 1 1 1 X X 1 1 1 1 0 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 1 X 2X+1 1 2X+1 2X 2X+2 0 1 2X+2 1 X+2 2 X+1 X 2X X+1 2X X+1 0 X+1 2X+2 X 1 2 X X 1 X 2 2X X X+1 1 1 1 X+2 2X+1 1 X+2 2 2X 0 2X+1 1 2X 1 1 X+1 1 X 1 1 2 0 2X 2X 1 1 0 2X+2 X X+2 1 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 X+2 X+2 2X+2 2X+1 0 X+1 2X 1 0 2X+2 2X 2X X+1 2 1 X+1 1 2X 2X X+2 2 X 2X 2X+1 X+2 2X+2 0 1 1 2X+2 2 2X+1 2 1 2X+2 X X+1 2X+1 X X+1 0 X 2X+2 0 2X 2X+2 1 X X+1 2X+2 0 1 2X 1 2 1 X+1 X 2X+1 X+2 X 2X+1 X 0 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 2X 0 X 2X 2X 2X 0 X X X 0 X 0 X 0 X X 2X 2X 0 0 X 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 2X X 0 0 0 X 0 0 X X X X X 0 0 0 X X X 0 0 X X X 0 0 X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 2X 2X 0 0 X X X 2X 2X 0 X X 2X 2X 0 0 X 0 0 X 2X X X 0 2X 0 2X X 0 2X 2X X 0 2X X 0 0 X 2X 2X X 2X 2X X 0 2X 0 2X 2X X 0 X X X X X 2X 2X 2X 2X X 0 2X X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 X 2X X 0 X 2X X X 2X X X X X 0 0 0 X 0 X 2X 2X 2X 0 0 X X 2X 0 X X 0 0 2X 2X 0 0 0 X 0 2X 0 X X 0 X 2X X 2X 2X 2X X 0 0 2X 0 X 0 X X X 0 generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+138x^145+186x^146+116x^147+486x^148+648x^149+244x^150+786x^151+1008x^152+242x^153+1092x^154+972x^155+274x^156+1308x^157+1362x^158+316x^159+1254x^160+1242x^161+260x^162+1272x^163+1392x^164+352x^165+1002x^166+936x^167+158x^168+732x^169+528x^170+82x^171+450x^172+312x^173+50x^174+174x^175+132x^176+28x^177+36x^178+30x^179+22x^180+18x^181+12x^183+10x^186+12x^189+6x^192+2x^198 The gray image is a linear code over GF(3) with n=240, k=9 and d=145. This code was found by Heurico 1.16 in 22.7 seconds.