The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 1 1 1 1 1 1 2X 2X 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X X 1 0 1 0 X 1 1 X X 2X X 0 0 1 1 2 2X+1 0 2 1 X 2X+1 X+2 1 X X+1 X+2 1 X+1 0 2 1 X 1 X+2 1 2X 2X 2X+1 X+1 2X 1 2X+2 2X+2 2X+2 1 1 1 0 0 X 2X+1 2X+1 X+1 X X+1 0 X 2X+1 X+1 2 X+2 1 1 2X 2 X X+2 X 0 2X+2 2X+2 2X 0 1 2X 1 0 0 2X 0 X X 2X 2X 2X 0 X X X 2X 2X 2X X 2X X X 0 0 0 0 0 X 2X 0 2X X 0 X 2X 0 X 2X 0 X 2X 2X X 0 X X 2X 0 0 2X 0 0 0 0 X X X X 2X X 0 X 2X 2X X 0 X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+102x^128+38x^129+36x^131+24x^132+12x^134+12x^135+6x^137+4x^138+6x^143+2x^144 The gray image is a linear code over GF(3) with n=195, k=5 and d=128. This code was found by Heurico 1.16 in 1.35 seconds.