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 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3 X X X^3+X^2 X^2 X 0 X^3 X X X X^2 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X X^3+X^2 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X^2+X X X^3+X X X X X^2+X X X 0 X^3+X^2+X 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 0 X^3 X^3 0 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 0 0 X^3 0 generates a code of length 91 over Z2[X]/(X^4) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+232x^88+256x^90+344x^92+160x^94+28x^96+2x^112+1x^128 The gray image is a linear code over GF(2) with n=728, k=10 and d=352. This code was found by Heurico 1.16 in 0.906 seconds.