The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 2X X 1 1 1 1 0 1 1 X 1 1 1 2X 0 X X 1 1 1 1 0 1 1 2X 1 1 1 1 X 2X 1 1 1 0 1 1 2X 1 1 X 1 1 1 1 2X 1 2X 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 X+2 2X+1 X+1 2 2X+2 2X+1 1 1 2X+1 X+1 2 2X+2 1 2X+2 X+2 1 X+2 2 X+1 1 1 0 1 X X+1 0 X 1 1 2X+1 1 0 2X 0 X 1 1 X+2 2 1 0 2X+2 X 1 2X X+1 1 1 X+2 2X+2 0 1 X+1 X 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 2X+2 2 1 X+2 X+2 2X X+1 0 1 2X+1 X+1 2X+1 2X+1 0 X 2X+1 2X 1 0 2 X+2 1 2 X+1 2X+2 X+2 2X X 2X 2X+1 X+1 2 1 X+2 X 2X+2 2X+2 X+1 X 2X 2X 2X+2 2X+2 X+1 0 2X+1 0 1 2 X 2X+1 X+2 2X 1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 X+1 2X 2X+1 X+2 0 X 2X+1 X+1 2X+2 X 0 X+1 2X+2 1 X 2X 2 2 2X+2 X+2 2X+1 X+2 0 X+1 1 2X 2X+2 2X 1 2 X+1 X+1 2X+2 2 X X X+1 2X+1 X+1 2X+1 1 X 2 2 0 X+1 2X+1 X 2X 1 2X+1 X+2 2X+2 X+2 generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+192x^128+252x^129+192x^130+522x^131+464x^132+300x^133+474x^134+358x^135+288x^136+474x^137+270x^138+234x^139+432x^140+262x^141+162x^142+354x^143+206x^144+126x^145+174x^146+180x^147+78x^148+150x^149+118x^150+60x^151+84x^152+56x^153+18x^154+42x^155+18x^156+12x^158+2x^159+6x^161 The gray image is a linear code over GF(3) with n=207, k=8 and d=128. This code was found by Heurico 1.16 in 0.707 seconds.