The generator matrix 1 0 1 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 0 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 0 1 1 X^2+X 1 X^3+X^2 1 1 1 X^3+X 1 X^3 1 1 X^2 1 1 X^2+X 1 1 1 X^3+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 0 X^3+X^2+X X X^3+X^2 0 X^3+X^2 X^2+X X^3+X 0 X^3 X^2+X X^3+X^2+X 0 X^3 X^2 X X^3 0 1 X+1 X^2+X X^2+1 1 X^3+X^2+X+1 X^3+X^2 1 X^3+X X^3+1 1 0 X+1 1 X^2+X X^2+1 1 X^3+X^2 X^3+X^2+X+1 1 X^3+X X^3+1 1 0 X+1 1 X^2+X X^2+1 1 X^3+X^2 1 X^3+X^2+X+1 X^3+X X^3+1 1 X^3 1 X+1 X^2+X 1 X^3+X^2+X+1 X^2+1 1 X^2 X^3+X X^3+1 1 X^3+X^2+X 0 X X^3+X^2 0 X^2+X X^3+X^2 X^3+X X^3+X+1 X^3+X^2+1 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X^3+X^2+X+1 X^3+1 X^3+X^2+X+1 X^3+1 X^3+X+1 X^3+X^2+1 X^2+X+1 1 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 0 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 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 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 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 generates a code of length 97 over Z2[X]/(X^4) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+296x^93+76x^94+112x^95+148x^96+872x^97+80x^98+72x^99+40x^100+304x^101+36x^102+8x^103+3x^128 The gray image is a linear code over GF(2) with n=776, k=11 and d=372. This code was found by Heurico 1.16 in 0.796 seconds.