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 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^3+X^2 0 0 0 X^2 X^3+X^2 X^2 0 0 X^3 0 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3 X^2 0 X^3+X^2 0 X^3+X^2 X^3+X^2 X^3+X^2 0 X^3 0 X^3 X^3+X^2 X^2 X^2 X^3+X^2 0 0 X^3+X^2 0 X^3+X^2 X^2 X^2 X^3 0 0 0 X^3 X^3 0 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3 X^3 X^3 0 X^3 X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^3+X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^3+X^2 X^2 X^2 X^2 X^2 0 0 0 X^3+X^2 0 X^2 X^2 X^3+X^2 0 X^2 0 0 X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 0 X^2 X^3+X^2 X^3+X^2 0 X^2 X^3 0 X^2 X^3+X^2 0 X^3+X^2 0 X^3+X^2 X^3 X^3 0 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3 0 X^2 X^3 X^3 X^2 X^3+X^2 X^3 0 X^2 X^2 X^3 X^3+X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^3 0 0 X^3 X^3 X^3 X^2 X^2 X^2 X^2 X^2 X^2 0 X^3 0 X^3 0 X^3 0 X^2 X^3+X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3+X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 X^2 X^3 X^2 0 X^3 X^3+X^2 X^3+X^2 0 0 X^2 X^3 X^2 X^2 X^3+X^2 0 X^3 X^3 X^2 X^3+X^2 0 X^3 X^3+X^2 X^3 X^2 0 X^3+X^2 X^2 X^2 0 X^3 0 X^2 0 X^3 X^2 X^2 X^3 X^2 0 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^2 0 X^3 X^2 X^3+X^2 X^3 0 X^3 0 X^3+X^2 X^2 0 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 X^3 X^3 0 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 X^3 0 X^3 X^3+X^2 X^3+X^2 X^3 0 X^3+X^2 0 X^3+X^2 X^3 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 0 0 generates a code of length 88 over Z2[X]/(X^4) who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+23x^82+62x^83+40x^84+38x^85+33x^86+28x^87+1598x^88+28x^89+33x^90+38x^91+40x^92+62x^93+23x^94+1x^176 The gray image is a linear code over GF(2) with n=704, k=11 and d=328. This code was found by Heurico 1.16 in 0.906 seconds.