The generator matrix 1 0 0 1 1 1 X^2+X X 1 1 1 X^2 X^2 1 0 1 1 1 X 0 1 1 1 X^2+X 1 X X^2+X 1 1 0 1 1 0 X^2+X 1 1 1 X X^2 1 1 X^2+X 0 1 1 X^2 1 X^2+X X^2+X 1 1 X^2 X^2 1 1 1 1 X^2+X 1 0 1 1 0 X^2+X 1 1 1 X^2 1 X^2+X 1 1 X 1 X^2+X 1 1 X^2 0 0 X^2 1 1 1 1 X X 1 X 1 1 0 1 0 0 1 X+1 1 X^2 X^2+X+1 X+1 X^2+X 1 1 X^2 0 0 X^2+1 0 1 1 X^2+X+1 X X^2+X+1 1 1 1 X X X^2+1 1 X^2 0 X^2+X 1 X^2+X+1 X^2+1 X 1 X^2+X X^2 X^2+X 1 1 X+1 X^2 1 X+1 0 1 X^2+X 1 1 1 X^2+1 X^2+1 X^2+X X X^2+X 0 X^2+X X+1 X^2+X 0 0 X^2+X X^2+1 1 1 X^2+X+1 1 X^2+1 X^2+X 1 0 X^2 X X+1 X 1 X^2 1 1 X+1 1 X^2+1 1 1 X^2+X+1 1 X^2+X X^2 0 0 1 1 1 X^2 1 1 X+1 X^2+X X^2+1 X^2+1 X^2+X X 1 X^2 1 X^2+X+1 1 X^2 X 1 X+1 X^2 X^2 X^2+X+1 1 X 0 X^2+X+1 X^2+X+1 X 1 X X^2+1 X X^2 X^2 1 X^2 1 X+1 1 X^2+1 X X^2 X^2 1 0 X+1 X^2+X+1 0 X+1 X^2+X X+1 X^2+X X^2 1 1 1 0 X+1 1 1 X^2+X+1 X^2+1 0 X^2+X X^2+X 0 X 0 X X^2 1 X^2+X X^2+1 1 X 1 X^2 1 X^2 X^2+1 X X^2+1 1 X^2+X X^2 X+1 X^2 0 0 0 X X^2+X 0 X X X^2+X 0 X^2+X X^2+X 0 0 X^2+X X^2+X X^2 0 X^2 X^2+X X 0 X^2 X^2+X X 0 X^2 X^2 0 X X X^2+X X^2 X^2+X 0 X 0 X^2 X^2+X X^2 X X X^2 X X^2+X 0 X^2+X X^2 X X X^2+X X X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2 0 X^2 0 X 0 X 0 X X^2+X 0 X 0 0 X^2+X X X^2 X^2 X^2+X X X 0 X^2 X^2+X 0 0 X^2 0 X X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 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 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+94x^84+214x^85+359x^86+404x^87+338x^88+396x^89+314x^90+272x^91+346x^92+258x^93+203x^94+206x^95+156x^96+152x^97+117x^98+86x^99+51x^100+20x^101+36x^102+22x^103+21x^104+12x^105+9x^106+2x^107+1x^108+2x^109+2x^110+2x^117 The gray image is a linear code over GF(2) with n=364, k=12 and d=168. This code was found by Heurico 1.16 in 1.56 seconds.