The generator matrix 1 0 1 1 1 X^2 X 1 1 1 X^2+X 1 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X^2 1 1 X^2 1 1 X^2 0 1 1 1 X^2+X 1 X 1 X^2 1 1 X^2+X 1 1 X^2+X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 X X^2 1 1 1 X 1 0 0 0 0 X^2 1 1 X 0 0 X 1 0 1 1 X^2+X X^2+X+1 1 1 X+1 X X^2+1 1 X^2 X X+1 1 X X+1 1 0 1 1 0 1 1 0 X^2+X+1 1 X^2+X 1 1 1 X^2 X^2+X+1 X 1 1 1 0 1 0 X 1 X^2+X+1 X 1 X^2+1 X^2+X+1 1 X^2+X X+1 X^2+1 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X+1 X+1 1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 X^2 0 X^2 X X^2+X X^2+X X^2 X X X^2 0 X X^2+X 0 0 X^2 X^2+X X 1 0 1 1 X^2 X^2 X^2 1 1 1 X^2 0 0 X 0 X^2+X X X X^2 X X^2 0 X X^2+X X^2 0 0 X X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X X 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X 0 0 X 0 X^2+X X^2 X 0 X^2 X X X^2 X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X^2+X X X^2+X X^2+X X^2 0 X^2 0 0 X^2 X^2 X^2 X^2+X X^2+X X X^2+X 0 X X X^2 X^2 X^2+X X^2+X X^2+X 0 X^2 0 X X X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 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 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 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+56x^89+116x^90+128x^91+116x^92+132x^93+93x^94+68x^95+96x^96+46x^97+48x^98+44x^99+23x^100+12x^101+2x^102+16x^103+3x^104+8x^105+10x^106+1x^108+2x^121+2x^122+1x^126 The gray image is a linear code over GF(2) with n=376, k=10 and d=178. This code was found by Heurico 1.16 in 0.717 seconds.