The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 1 1 1 0 1 1 1 1 0 2X 1 1 0 1 1 1 1 0 1 1 1 1 X 2X X 1 1 X 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 2X 1 1 X 1 1 1 1 0 1 0 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 2X 1 2X+1 2X 2 0 X+2 1 1 1 X 2 1 2X+1 1 2X+2 2X 1 2X+2 0 1 2 2X 1 1 X X+1 X 1 1 2 0 0 0 2X+1 2 0 X+2 X+2 X+2 2X 1 X+1 2X 2 X 2X 1 X+1 X+1 X+1 1 X 1 X 2 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 2X+1 1 2X+2 1 X+1 2X+2 2X+2 0 1 X 2X X X+2 X+2 1 2X+1 2 0 2X 0 0 X+2 1 X+2 1 2X+2 2 1 0 2 2X 2X+1 2X+2 2X+1 X+2 2X 0 2X+2 2X+2 2X+1 X+2 2 0 1 X 0 1 X+1 2X+2 2 2X+1 2X+2 0 X+1 X+2 X+2 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 X 0 2X 0 X 2X 2X 2X 2X 0 2X X 2X 2X X X X X X 0 2X 2X 2X X X 2X 0 2X 2X 0 2X X X 2X X 2X 0 X 0 X X 2X 2X X X 0 X 2X 0 0 2X X 0 0 0 0 0 0 2X 0 0 0 0 0 X 2X 0 2X 0 0 0 0 X 0 X 2X 2X 0 0 X 2X X 2X 2X 0 X X 0 X 2X X X 0 X X 2X 2X 0 2X 2X X 0 2X 0 X X 2X 2X 2X X 2X X 2X X X X 2X X 0 X 0 X X 0 0 0 0 0 X 0 X X 2X X 2X 2X 2X X 2X X 0 2X 2X 0 2X 0 2X 2X 2X 0 X 0 2X X 2X 0 0 2X 0 0 2X 0 0 X X 0 X 0 0 2X X X 2X 2X X 0 2X 2X 2X X X 2X 2X 0 X 2X 0 0 0 2X 0 X 0 0 0 0 0 0 X X X X 0 0 2X X 0 0 2X X 2X 2X 2X X 0 X 0 0 2X 0 2X X 2X 0 0 0 X X 0 2X 0 0 0 X X X 2X X 2X 0 2X X 2X X 2X 2X 0 X X 2X 2X X 2X 2X 2X X X X X 2X 2X generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 120. Homogenous weight enumerator: w(x)=1x^0+120x^120+96x^121+306x^122+486x^123+276x^124+732x^125+1086x^126+678x^127+1620x^128+1604x^129+1200x^130+2658x^131+2034x^132+1632x^133+3768x^134+2780x^135+2004x^136+4518x^137+2968x^138+2394x^139+4398x^140+3208x^141+2172x^142+4110x^143+2574x^144+1464x^145+2520x^146+1520x^147+840x^148+1158x^149+740x^150+294x^151+408x^152+300x^153+66x^154+36x^155+138x^156+6x^157+12x^158+56x^159+32x^162+22x^165+10x^168+2x^171+2x^180 The gray image is a linear code over GF(3) with n=207, k=10 and d=120. This code was found by Heurico 1.16 in 53.1 seconds.