The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 X 1 X X^2 1 X 1 X^2 1 X 1 1 X^2 1 X X^2 1 0 X^2 1 1 1 0 1 X 1 0 X 0 0 0 X X^2+X X X^2 X^2 X X^2+X 0 0 X X X X X X^2 X^2 X^2+X 0 0 X X^2 X^2+X X^2 X^2+X X^2 X^2+X 0 X^2 0 X^2 X^2+X 0 0 X X 0 X^2 X 0 X X^2 X X X^2 0 X X^2 X^2+X 0 X X X^2 X^2+X X^2 X^2 X X^2+X 0 X^2 0 0 X^2 X X^2+X X 0 X^2+X 0 0 X X^2 X X X^2 X X X^2 X^2 X^2 X 0 X X^2+X 0 0 X 0 X X X 0 X^2 0 X^2+X X X X^2+X 0 0 X^2 0 X X^2+X X^2 X^2+X X^2 X^2+X X X X^2 X^2+X 0 X^2 X 0 X 0 0 X^2+X X X^2+X X^2+X X^2 X 0 X^2 X X 0 X^2 X^2+X X^2+X X^2+X X^2 0 X^2+X 0 0 X^2+X X^2 0 X^2 X X^2 0 0 X^2 X X X^2 X^2 X^2 X X^2+X X X^2+X 0 0 X X^2+X X^2 X^2+X X^2 X 0 X X^2+X X^2 X^2 0 0 0 0 0 X X 0 X X^2+X 0 X X^2 X X X^2 X^2 X^2+X 0 X 0 X^2 0 X X X^2+X X^2+X X X^2 0 X^2+X X^2+X X^2 0 X X^2 X X^2 X^2 0 0 X 0 0 X^2 X X^2+X X 0 X^2+X X^2+X X^2 0 X X^2+X X X X^2+X X X^2+X 0 X^2+X X X X^2+X X X^2+X X^2+X X^2 X 0 X X^2+X X 0 0 X^2+X X^2+X X^2 X^2+X X X^2 X^2+X 0 X^2+X X^2 X X^2 X 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 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 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 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+74x^80+168x^82+28x^83+220x^84+144x^85+256x^86+76x^87+234x^88+128x^89+194x^90+84x^91+157x^92+48x^93+80x^94+4x^95+75x^96+28x^98+27x^100+8x^102+11x^104+2x^106+1x^144 The gray image is a linear code over GF(2) with n=352, k=11 and d=160. This code was found by Heurico 1.16 in 0.914 seconds.