The generator matrix 1 0 0 0 1 1 1 X^2 1 1 0 1 1 X^2 X 1 1 1 X 1 1 1 0 1 1 X^2 X^2+X X X^2 X^2+X 0 1 0 1 X X^2+X 1 1 1 0 1 X 1 X 0 1 X 1 1 X 1 X^2 X 1 X X 1 X^2 1 1 1 0 0 1 0 1 1 X^2 X 1 1 1 1 X 1 X^2+X 1 X^2 X^2+X 1 1 0 1 1 X 1 X^2 1 0 1 0 0 X X X^2+X 0 1 X^2+1 1 X^2+X+1 X+1 1 1 X^2+X X^2 X^2+1 X X X^2+X+1 X^2+X+1 X^2 0 X^2+1 1 1 0 1 1 1 X^2+X X X X^2 X X^2+X X+1 X^2+1 1 X^2+X 1 X+1 1 X^2+X X^2 1 X^2+1 0 X X^2+1 X^2+X 1 0 1 0 X+1 1 1 X^2+X+1 X^2+1 1 X^2+X X^2 1 X X^2+X+1 0 X^2+X X^2 X^2 X+1 X^2 1 X^2 X^2+X X+1 X^2+X X^2 X^2 X X^2+X X^2 X 1 1 1 X 0 0 1 0 X X^2+X+1 X^2+X+1 1 X+1 0 X X 1 X^2+X+1 X^2+1 X^2 X^2+1 X+1 X X+1 X^2+X+1 0 1 X^2+X X^2 0 0 1 1 X^2+1 X X^2+X+1 1 X^2+X X 1 1 X^2+1 X^2+1 1 0 X^2+X X^2 X+1 1 X^2+1 0 X^2+X X^2 X 1 1 0 X X^2+X+1 1 X+1 1 X X+1 X+1 X^2 X^2 X^2+X+1 1 X^2+X 0 X^2+X X^2 X^2+1 0 1 1 X^2 X^2+X 1 X+1 1 1 X+1 X^2+X X X^2+X+1 1 X^2+X 1 X^2+X+1 X 0 0 0 1 X+1 X^2+X+1 X 1 X X+1 X+1 X^2+X 1 X^2+1 X 0 X^2+X X^2 1 X^2+1 1 X^2+X+1 X+1 X^2+X+1 X^2+X X+1 X^2 X^2+X X^2 X^2+1 X^2 X^2 X+1 X 1 X^2 X 1 X^2 X^2+X+1 X+1 X^2+1 0 X^2+X+1 0 X^2+1 X+1 1 X+1 1 X^2+1 X^2+X X^2 X^2+1 X X^2+X+1 1 X X^2 X^2 X+1 1 1 X^2+X 1 X^2+1 1 1 1 X^2+1 X^2 X+1 X^2+X+1 X X+1 X 0 X+1 X^2 0 X^2 1 X+1 X^2+1 X+1 1 X^2+X 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 generates a code of length 88 over Z2[X]/(X^3) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+83x^80+306x^81+558x^82+530x^83+649x^84+610x^85+736x^86+678x^87+599x^88+444x^89+587x^90+502x^91+495x^92+360x^93+303x^94+230x^95+191x^96+86x^97+91x^98+56x^99+40x^100+14x^101+13x^102+20x^103+6x^104+4x^105 The gray image is a linear code over GF(2) with n=352, k=13 and d=160. This code was found by Heurico 1.16 in 4.82 seconds.