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 X 1 X 1 X X 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 X X X X X X X X^2 X X X X X X X^2 X X^2 X X 0 X X 1 1 0 X^3+X^2 0 X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^2 X^3 0 X^3 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^2 X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 0 X^3 0 X^3 X^2 X^3+X^2 X^3 X^3 X^3+X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2 X^2 X^2 X^3 X^2 X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 X^2 X^3 0 X^3+X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 X^3 X^2 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 0 X^3 X^3 X^3+X^2 0 X^3 0 X^2 0 0 0 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 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 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 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 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 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 X^3 0 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 X^3 0 X^3 X^3 0 X^3 0 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 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 0 0 generates a code of length 93 over Z2[X]/(X^4) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+86x^89+63x^90+72x^91+260x^92+102x^93+251x^94+48x^95+53x^96+50x^97+5x^98+8x^99+3x^100+18x^101+1x^102+2x^112+1x^132 The gray image is a linear code over GF(2) with n=744, k=10 and d=356. This code was found by Heurico 1.16 in 1 seconds.