The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 X 1 1 X 1 0 1 1 0 1 1 X 1 0 1 1 X 1 1 1 1 2X 1 1 0 1 X 1 1 X 1 1 1 1 1 0 1 1 0 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 0 X+2 1 1 0 0 2X+1 1 2 1 2X+2 2 2X 2X X 2X 1 1 2X 2X+1 1 2 2X+2 1 2X 0 X+1 X+2 1 X+1 1 X+1 2X+2 1 X+2 2X 2X+1 2X+2 X+2 1 2X+1 X+1 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 X+1 2X+2 2X+1 X+2 1 2X+1 1 X+2 2 X X 2X 1 0 1 1 2 X 0 2 2 2X 2X+2 2 2X 1 2X+1 2X 2X X+1 2X 2X+2 1 0 X X+2 1 2 2X 2X+2 X X+2 X+1 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 0 X 0 X X 2X 0 2X X 0 0 X 2X 0 X X 0 X X X X 2X 2X 2X 2X 0 2X 0 X X 2X 0 0 0 0 0 X X X 0 2X X X generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+192x^127+246x^128+82x^129+204x^130+246x^131+78x^132+204x^133+180x^134+16x^135+138x^136+84x^137+10x^138+96x^139+84x^140+20x^141+54x^142+66x^143+10x^144+36x^145+48x^146+14x^147+24x^148+12x^149+10x^150+12x^151+6x^152+12x^154+2x^165 The gray image is a linear code over GF(3) with n=201, k=7 and d=127. This code was found by Heurico 1.16 in 42.5 seconds.