The generator matrix 1 0 1 1 1 X^2+X 1 1 X^3 1 1 X^3+X^2+X 1 X^2 1 1 X 1 1 X^3+X^2 1 X^3+X 1 1 1 1 0 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 X^2 1 X 1 1 1 X^3+X^2+X 1 X^3 1 1 1 1 X^3 X^3+X^2+X 1 1 1 X^3+X^2 X 1 1 1 1 1 1 1 1 1 1 1 X^3 0 X^3+X^2 X^3+X^2+X X^3+X^2+X X^3+X^2+X X^3+X^2 X X^3+X^2 X X 0 1 1 1 1 X 1 1 1 1 1 1 X^3 1 1 1 1 0 1 X+1 X^3+X^2+X X^3+X^2+1 1 X X+1 1 X^3+X^2 X^2+1 1 X^2+X+1 1 X^2+X 1 1 X^3+X X^3+X^2+X+1 1 X^3+1 1 X^3 X^3+X^2+X X^2 X+1 1 X^3 X^2+1 1 X X^3+X^2+X+1 1 X^2 X^3+1 1 X^3+X^2+X X^3+X+1 1 X^3+X^2+1 1 X^3+X^2 X X^2+X+1 1 1 1 0 0 X^3+X^2+1 X+1 1 1 X^3+X^2+X+1 1 X+1 1 1 X^3+X^2+1 X^3+X+1 X^3+X^2+1 X^3+X+1 X^3+1 X^3+X^2+X+1 1 X^3+X^2+X+1 X^3+X^2+X+1 X^3+X^2+1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X^2 X^2+X 1 0 X^3+X^2 X^3+X^2+X 1 X^2+1 X+1 X^2 1 X^3+X 0 X^3 X^3 0 0 X^2 X^2 X^3+X^2 0 X^3+X^2 X^3 X^2 0 X^3 X^2 X^2 X^2 X^3 X^3+X^2 X^2 X^3 0 X^3 0 X^3 X^2 X^3+X^2 X^3+X^2 0 X^3 X^3+X^2 0 X^3 X^2 X^3 0 X^2 X^3 0 0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3 0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 X^3 X^3 X^3+X^2 0 X^2 X^2 0 X^3+X^2 X^3+X^2 0 0 X^3 X^2 X^2 X^3 0 X^2 X^3+X^2 X^2 X^3+X^2 0 X^2 X^3+X^2 0 X^3 X^2 X^3+X^2 X^3+X^2 X^3 0 X^2 X^3 0 X^3 X^3+X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 0 0 0 X^3 X^2 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 0 X^3 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 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+206x^93+175x^94+208x^95+306x^96+328x^97+235x^98+208x^99+140x^100+194x^101+36x^102+8x^103+1x^120+1x^126+1x^138 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 1.2 seconds.