The generator matrix 1 0 0 1 1 1 X^2+X 1 X 1 1 1 0 X 0 X 0 1 1 1 1 1 1 1 1 0 X^2 X X^2 1 X^2+X X^2+X 1 1 1 1 1 1 X^2 X 0 X^2 0 1 1 1 1 1 1 1 X^2 X^2 1 X 1 1 0 1 1 1 X 1 1 X^2+X X 1 0 1 X^2 X^2 X^2+X X^2+X 1 X 0 1 0 1 0 1 X^2 1 1 1 1 1 1 X^2 0 1 0 0 1 X+1 1 X^2+X 0 X+1 X^2+X 1 1 1 X^2+X 1 1 1 X^2+1 X^2 X^2+X X+1 X+1 0 X^2 1 1 X^2 X X^2+X+1 1 1 X^2+X+1 X+1 0 X^2 X^2+X+1 0 1 1 X^2 1 1 X+1 0 X+1 1 X+1 0 X^2+X 1 1 X^2+X+1 1 0 X+1 X^2+X X^2+X+1 X^2 1 1 X+1 1 1 1 X^2+X 1 X^2+X+1 1 X^2+X 1 1 0 1 1 1 1 X^2+1 1 X^2+X X^2 X^2+X X+1 X^2+1 X^2+X+1 X X^2+X+1 1 0 0 1 1 1 0 1 1 1 X^2+1 0 X^2 1 X^2 1 X+1 X^2+X X X^2+X+1 X X+1 0 X^2+1 1 X^2+X X^2 X^2+X+1 1 1 1 X^2+X+1 X^2 X+1 X X+1 0 X X^2+X 0 1 1 X+1 X^2+X X^2+X+1 X+1 X^2+1 X^2 X^2+1 X^2 X^2+1 X^2+X 0 X^2+X+1 X^2+1 X^2+X X^2+X 1 X^2+X X+1 1 X^2+X 0 1 X X^2+X X^2 0 X^2+X+1 X^2 1 X^2 X^2 1 1 X^2+1 X^2+X+1 X+1 X^2+X+1 X X 1 X^2 X^2+X 1 X+1 X^2+X X X 0 0 0 X 0 0 X^2 X^2 X^2 X^2+X X X X^2+X X X 0 0 X^2 X^2+X X^2+X X X^2+X 0 0 0 X^2+X X X 0 X^2+X X^2+X 0 X^2 X^2 X^2 0 X X^2+X X^2 X^2+X X 0 X X^2 X X^2+X X X^2 X^2 X 0 X^2+X X 0 0 0 X^2 X^2+X X^2 0 X^2 X^2 X^2+X X^2+X X^2+X X^2 0 0 X X^2 X^2+X X^2 X^2 X X^2 X^2 X^2+X 0 0 X^2+X X^2+X X^2 X^2+X X X^2+X 0 0 X^2 0 0 0 0 X X^2 X X^2+X X^2+X X^2 X X^2+X 0 X 0 X X^2 0 X^2 X^2+X 0 X^2+X X X^2+X 0 X X^2 X^2 X 0 0 0 X^2+X X X^2 X X^2 0 X X^2+X X^2+X 0 0 X^2 X X 0 X^2 X X^2+X X^2+X 0 X^2+X 0 X^2 X^2+X X^2 X^2 0 X^2 X^2 X X^2 X^2 X 0 X^2+X 0 X X X^2+X X^2+X 0 X^2+X 0 X^2+X X^2+X X X X X X^2 X^2+X X^2+X X 0 X X 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+175x^80+252x^81+508x^82+492x^83+723x^84+520x^85+776x^86+584x^87+579x^88+616x^89+678x^90+440x^91+457x^92+332x^93+300x^94+216x^95+236x^96+100x^97+88x^98+28x^99+45x^100+4x^101+12x^102+20x^104+6x^106+2x^108+1x^112+1x^116 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 5.09 seconds.