The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 1 0 1 1 1 X 1 1 0 2X 1 1 1 1 X 1 1 1 1 X 1 X 1 1 1 1 1 1 1 0 2X 0 1 1 X 1 1 1 1 1 1 X 2X 1 1 1 1 1 1 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 X 2X X 2X X+2 1 2 1 1 1 2X+1 1 2 X 1 2X+1 2X+1 2X 2X+2 1 2X+2 2X X+2 1 0 X+1 X 2X+2 1 1 X X X+2 1 1 X X 0 0 2X+2 0 1 0 X+1 X+2 2X+2 2 X 0 1 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 X X+2 X+2 1 X+1 0 1 2X+2 2X 2X+1 2X+1 2X 0 2X+2 2 2 X+2 X 2X+2 0 2X+2 2 X 1 2X+1 X+1 X X 1 X 0 1 1 1 2 2 0 1 2X 0 2X+2 2X+2 2X+1 X 1 2X+1 X+2 1 X X X 0 0 0 0 2X 0 0 0 0 0 2X X 0 0 0 X X 2X X 2X X X 0 0 X X 2X 0 X X 2X 2X X X X X 0 2X 0 2X 2X 0 0 X 2X 0 X X 0 X 0 X 2X X 2X 2X 2X 0 2X X 2X X 2X 2X 0 0 0 0 X X X 0 X 0 X 0 2X 0 X X 0 X X 0 2X 2X 2X 2X X X 2X 0 0 X 2X 0 X X 0 0 X 2X 2X 2X 2X 2X 0 X 2X X 0 X 0 X 2X 2X 2X X 2X 0 2X 2X 0 2X X 0 2X generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+282x^116+270x^117+594x^119+348x^120+816x^122+436x^123+798x^125+308x^126+690x^128+276x^129+444x^131+210x^132+408x^134+174x^135+228x^137+94x^138+90x^140+52x^141+24x^143+8x^144+2x^147+4x^150+4x^153 The gray image is a linear code over GF(3) with n=189, k=8 and d=116. This code was found by Heurico 1.16 in 1.12 seconds.