The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 2X 1 1 0 1 1 0 2X 0 1 2X 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 X 0 0 1 1 X X 0 0 2X 1 1 1 1 1 1 1 1 2X 1 1 1 2X 1 1 X 1 0 1 1 1 X 1 1 1 0 1 0 0 0 1 2X+1 1 0 X 2X+2 2X+2 X+2 X 2X+1 2 1 X X 2X 1 1 1 1 1 2X+2 2 1 2X 2X+1 2X+2 1 X 2X+2 X+2 2X 0 1 1 1 1 2X+1 2X+1 1 1 1 2X 1 X 2X+2 1 X X X X+2 1 1 1 2 2X+1 1 X+2 1 1 2X+1 X 2 0 X X 1 X 2X 0 0 1 0 1 1 2X+2 2X+1 X+1 2X+2 2X X+1 0 1 X+1 1 0 2X X+2 1 X+2 2X+1 2 X+2 0 X+2 X 2X+2 X 0 X+2 X+1 1 2X+1 2 2X+1 2 X 2X X+2 2 X+2 2 X+1 0 1 1 2X 2 X+2 2X 1 X+2 2X X+2 X 2X 1 0 1 X+2 X+1 X 2 2 0 2X+1 X+1 X+2 1 2X+1 X 2X 0 0 0 1 2 0 2X+2 2X+2 2X+1 2X X+1 2X 2 X+1 1 2 1 1 2X+2 2X+2 X+2 1 1 2X X X X X+1 2X+2 2 2X+2 2X+2 0 1 X+1 1 2X+1 2X+1 2 2 0 2X+2 0 1 X+2 X 1 2X+1 X X+2 2 X+2 2 0 X+1 2X+1 2X 2X+1 X+2 2X+2 2X+2 X X 2X 2 1 1 0 1 X+1 0 2 1 0 0 0 0 2X 0 2X 2X X 0 X 0 2X X X 2X X X 2X 2X 2X 0 0 X X 2X 2X 0 0 0 0 X X 0 0 2X 2X 0 0 0 2X 0 2X 0 0 0 2X 2X 2X X X X 0 2X X 2X 0 0 0 X 2X X X X 2X X 2X 2X X 0 X 2X X 0 0 0 0 0 X X 0 2X 2X 2X 0 X X X 2X 0 0 2X 2X 2X X 2X 0 X 2X 0 0 2X X X 2X X X 0 0 X 2X 0 X X 2X 2X 0 2X 2X X X X 0 0 2X 0 2X 2X 2X X 0 2X X X X 0 X 0 X 2X 0 2X 2X 0 0 X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+120x^129+204x^130+396x^131+744x^132+696x^133+858x^134+1588x^135+1218x^136+1362x^137+2278x^138+1920x^139+1950x^140+3092x^141+2256x^142+2502x^143+3400x^144+2634x^145+3036x^146+3540x^147+2802x^148+2718x^149+3810x^150+2664x^151+2160x^152+2754x^153+1638x^154+1578x^155+1514x^156+1062x^157+648x^158+864x^159+324x^160+204x^161+266x^162+72x^163+72x^164+52x^165+6x^166+12x^167+16x^168+6x^171+2x^174+6x^177+4x^180 The gray image is a linear code over GF(3) with n=219, k=10 and d=129. This code was found by Heurico 1.16 in 57.8 seconds.