The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 0 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 1 X^2+X 1 1 1 0 X^2+X 1 1 X^2 1 1 1 X 1 1 1 1 0 X 1 1 1 0 1 1 1 1 0 X^2 1 1 1 1 1 X 1 1 0 1 1 1 1 X^2 1 X 1 X^2+X X^2 X^2 1 X 1 1 1 1 X^2+X X^2+X 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2+1 1 0 X^2+X X+1 1 X^2+X X+1 1 0 1 X^2 X^2+1 X^2+X X 1 X^2+1 X+1 0 1 1 X^2+X+1 X 1 X^2+1 1 X^2+X 1 0 1 0 X^2+X+1 1 1 X^2 X X 1 0 X^2+X 1 1 1 1 X^2+1 X^2+X+1 X^2+1 X^2+1 X 0 X+1 X+1 1 X^2+X+1 X+1 X^2+X+1 1 X X+1 1 X 1 1 1 1 1 X^2+X+1 X^2+X+1 X^2+X+1 X^2 1 1 X^2+1 X^2+1 X+1 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+40x^84+76x^85+224x^86+120x^87+367x^88+114x^89+457x^90+134x^91+488x^92+130x^93+446x^94+150x^95+474x^96+126x^97+337x^98+98x^99+142x^100+58x^101+54x^102+10x^103+10x^104+8x^105+10x^106+8x^108+3x^110+3x^112+2x^114+2x^116+1x^120+1x^122+1x^126+1x^130 The gray image is a linear code over GF(2) with n=372, k=12 and d=168. This code was found by Heurico 1.16 in 1.84 seconds.