The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 X 1 1 1 0 1 1 1 2X 1 2X 1 2X X 0 2X 1 1 1 1 1 0 0 1 1 1 1 1 X 2X 1 2X 1 1 1 X 1 1 X 1 1 X 0 1 1 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 X+1 1 X+2 2X X 0 X+1 0 0 1 X 0 2X+1 1 1 1 1 2X 1 2 2 0 1 2X X+2 X+2 2X+1 2X+1 2 2X 1 2X+2 X X+2 2X+1 X 1 2X+2 X 1 0 2 0 1 X 2X+2 2X+1 1 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 1 1 2 X+2 2X+1 1 2X+2 2 X+2 2 2 1 2X+1 X+1 2X+2 2X+2 2 1 2X+2 2X+2 1 2X+2 2X+1 1 2 X+1 X+1 0 1 1 2X+1 X+1 1 2X+2 X+2 2 X X+1 X+1 X+1 X+1 2 1 2X+2 2X+2 X+2 1 2X+2 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 X+1 2X 1 2 2X 2 1 X X+1 1 X+1 0 2 X+1 X+2 1 2X 2X+2 2X+2 2 X+1 2X 2 X+1 0 1 0 2X 2X X+2 2 X+2 X+2 2X X 2X+2 2X+1 X X+1 X+2 2X+2 2X+1 X+2 2X+2 X 2X+1 2X 2X+2 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 X+2 X+2 1 X+1 X+2 2 2X 2X+2 X X+1 X+1 1 2X+1 2X 2X X 2X+2 2 0 2 0 0 X 2X+2 X 2 0 2X+2 X+1 2X+1 1 2 2X 2 X 2X+2 2X 2X+2 2X+1 2 2X 2X+1 X+2 X+1 2X+1 X 2X+1 2X+2 generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+210x^126+366x^127+564x^128+938x^129+822x^130+1110x^131+1784x^132+1446x^133+1632x^134+2524x^135+2154x^136+2358x^137+3214x^138+2298x^139+2520x^140+3776x^141+2886x^142+2820x^143+3912x^144+2688x^145+2484x^146+3306x^147+2424x^148+1998x^149+2434x^150+1428x^151+1200x^152+1352x^153+720x^154+588x^155+424x^156+234x^157+204x^158+158x^159+18x^160+18x^161+18x^162+12x^163+2x^165+2x^168+2x^171 The gray image is a linear code over GF(3) with n=213, k=10 and d=126. This code was found by Heurico 1.16 in 67.9 seconds.