The generator matrix 1 0 1 1 X^2 1 1 1 X^2+X 1 1 0 X^3+X 1 1 1 1 X^2 1 1 X^3 1 1 X^3 1 1 X 1 1 X^3+X^2+X 1 X^3+X 1 0 1 1 1 X^2+X 1 1 X^2+X 1 0 X^3+X 1 1 1 1 1 1 1 X^3+X^2 1 1 1 1 1 1 X^3+X X^2 1 1 1 X^2 X^2+X X 1 1 X^3+X^2+X 1 X^3+X^2+X X^2 X^3+X^2 1 1 1 1 1 0 1 1 X^3 X^3 1 X^2+X 1 1 1 1 1 1 X 1 1 1 X 1 0 1 1 X^2+X 1 X^2+X+1 X^2 X^3+1 1 X+1 X^3+X^2+X 1 1 0 X^3+X^2+1 X^3 X^3+1 1 X X+1 1 X^2+X X^3+X+1 1 X^2 X^2+1 1 X^3+X^2+X+1 X^3+X^2 1 1 1 X 1 X^3+X X+1 X^3+X^2 1 X^3+X X^3+X 1 X^3+1 1 1 X^2 X^3+X^2+1 X+1 X^3+X^2+X+1 X^3+X^2+1 1 X^3+X+1 1 X^2+X+1 X^3 X^3+X^2+X X^3+X^2+X 0 X^3+X+1 1 X X^2+X+1 X^3+X^2+X X^2 1 1 1 X^3+X^2+1 1 1 0 1 1 1 X^3+X X^3+X X^2+1 X^3+X X 1 X^2+1 X^3+X 1 1 X^2 1 X^2+1 X^3+1 X^2+X+1 X^2 X^2+X X+1 1 X^2+X X+1 X^3+X^2 1 0 0 0 X 0 X^3+X X X^3+X X^3 0 X^3 X^3+X X^3+X^2+X X^2 X^3+X^2 X^3+X^2 X^3+X^2+X X^3+X^2+X X^2+X X^2 X^2+X X^3+X X^2+X X^2 X^2 X^2 X^2+X X X^3+X^2 X^2+X X^3 X^2 X^3+X^2+X X^3+X^2+X X^3 X^3 X^3+X 0 X X X^3+X^2 X^2 X^2+X X^3+X^2 X^2+X X 0 X^2+X X^3 X^3+X 0 X^3+X X^2+X 0 X X^3+X^2 0 X^3 X^3+X^2 0 X^3+X^2 X^3+X^2+X X^3+X^2+X X^2+X X^2 X^2+X X^3 X X X X^3+X^2+X X^2 X^3+X X^3 X^3+X X^3+X^2 X^3+X^2 X^3 0 X^3+X^2 X^2+X X^3+X^2+X X^3+X^2+X 0 X^2 X^2+X 0 X^2 X X^3+X X^3+X^2 X^3+X^2+X X^3 X^2+X X^2 0 0 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 0 X^3 0 X^3 0 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 generates a code of length 97 over Z2[X]/(X^4) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+85x^92+480x^93+503x^94+492x^95+365x^96+446x^97+332x^98+428x^99+366x^100+388x^101+99x^102+52x^103+14x^104+10x^105+12x^106+4x^107+4x^108+4x^110+4x^113+4x^116+1x^124+2x^130 The gray image is a linear code over GF(2) with n=776, k=12 and d=368. This code was found by Heurico 1.16 in 1.42 seconds.