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 1 1 1 X^3 1 1 1 X^2 1 0 X 0 X^3+X^2+X X^3 X^2+X X^3 X^3+X 0 X^2+X X^3 X^3+X X^3 X^3+X^2+X 0 X 0 X^3+X^2+X X^3 X^3+X 0 X^2+X X^3 X 0 X^3+X^2+X X^3 X^3+X^2+X X X^3 X^3+X X^3 X^3+X^2 X^3+X^2+X X^2 X^3+X X^2 X^2+X X^3+X^2 X^3+X X^2+X X^3+X^2 X^3+X^2 X X^3+X^2 X^2+X X X^3+X^2 X^3+X^2 X^3+X^2+X X^2 X X^3+X^2+X X^3+X^2 X^2 X^3+X X^2 X^3+X^2+X X^3+X^2 X^3+X X^3+X^2 X^2 X^2+X X X^3 X^2+X X X^3+X^2+X X 0 0 X^3+X^2 X^2+X X^3+X X^3+X 0 0 X^2 X^3 X^3 X^3+X X^3+X X^3+X 0 X^2+X X^3+X X^2 X^3+X^2 0 X^3+X X X X^3+X^2+X X^3+X^2 X^2 X^3+X^2 X^3+X^2+X 0 0 X^3+X^2 0 0 X^3+X^2 X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^2 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^2 X^2 X^2 X^3+X^2 X^3+X^2 0 0 0 X^3 X^2 X^2 X^2 X^3+X^2 0 X^3 0 X^3 0 X^3+X^2 X^3+X^2 0 0 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^3 X^3+X^2 X^2 0 0 X^2 0 X^2 0 0 X^3+X^2 X^3+X^2 X^3+X^2 0 X^3 0 0 X^2 X^2 X^2 X^3 0 X^3 0 X^2 X^3 X^2 0 0 0 X^3+X^2 X^2 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^2 0 0 X^2 X^3+X^2 0 X^2 X^3 X^2 0 X^3 X^2 0 X^3 X^2 X^3+X^2 X^3 0 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3 X^3 X^2 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 0 X^3+X^2 X^2 X^2 0 0 X^2 0 X^2 X^3 X^3+X^2 0 X^3+X^2 0 X^2 0 X^2 X^3+X^2 X^3 X^2 X^2 X^3 0 0 X^3+X^2 X^3 X^3+X^2 X^3+X^2 0 X^3 0 0 X^3 X^3+X^2 X^3+X^2 0 X^3+X^2 X^3+X^2 X^3 X^3+X^2 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+134x^93+93x^94+116x^95+481x^96+414x^97+500x^98+96x^99+60x^100+122x^101+14x^102+12x^103+2x^104+2x^105+1x^190 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 6.62 seconds.