The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 X^2 1 X 1 X 1 X^2 X^2+X 1 1 0 1 1 1 X 1 X^2+X 1 0 1 1 1 1 1 X^2+X X X^2 0 1 X^2+X 0 X^2+X X^2+X 1 1 X^2 1 1 X^2 1 1 X^2+X 1 1 0 0 1 X^2 1 0 1 0 1 1 1 1 1 X 1 X 1 0 1 1 1 X^2 X X^2+X X^2+X 1 X^2+X X X^2+X 1 0 X X^2+X 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2+X X^2+1 X^2 1 X^2+X+1 X^2+X X^2+X+1 1 X 1 X^2+X X^2 1 X+1 1 1 X^2+1 X^2 X^2 0 X^2+X+1 1 0 1 X+1 X X^2 X X+1 1 1 X 1 X^2+X+1 0 1 X^2+X 0 X^2+1 1 1 0 X^2+1 1 X 0 1 X+1 1 1 X 0 0 X^2+X+1 1 X 1 X+1 X+1 X^2+1 X^2 X^2 1 X 1 X+1 1 X^2+X X^2+X+1 X^2 1 X^2+X X^2+X X X^2+X 1 1 X^2+X X^2+1 1 1 1 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X X^2+1 X^2+X 1 1 X^2+X X^2+X+1 X 0 X+1 1 X+1 X 1 0 X^2+X X^2+X+1 X 1 X+1 0 X^2+1 X+1 X^2 X^2+1 X+1 0 1 X^2+X X^2+1 1 X^2+X 0 1 X^2+1 1 1 X^2+1 X^2 X X^2+X X^2+X X^2+1 X^2+X 0 X^2+X+1 X+1 X+1 X 1 1 1 X^2 X^2 X+1 X^2+1 1 X^2+X X^2+X+1 X^2+X X^2 1 0 X X+1 X^2 X+1 X^2 X^2+X X^2+X+1 1 1 1 X^2 X^2+X X^2+X 1 X X^2+X+1 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 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 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 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 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+270x^89+150x^90+368x^91+111x^92+270x^93+67x^94+222x^95+75x^96+120x^97+41x^98+112x^99+23x^100+54x^101+16x^102+78x^103+11x^104+22x^105+12x^106+20x^107+2x^108+1x^110+1x^112+1x^114 The gray image is a linear code over GF(2) with n=376, k=11 and d=178. This code was found by Heurico 1.16 in 40.2 seconds.