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 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3+X^2 X 0 X X^3+X^2 X X^3 X X^2 X 0 X X^3+X^2 X 0 X X^3 X^3 X X X^3+X^2 X^2 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X X^3+X^2 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X^3+X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X X^3 X^3+X^2+X X^2 X^3+X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X X X^2+X X X^3+X X X^3+X^2+X X X X X^2+X X X^3+X X X^2+X X X^3+X 0 X X^3+X^2+X X X X 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 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 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 0 X^3 X^3 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 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 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 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 0 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 0 0 X^3 X^3 0 0 X^3 0 0 X^3 X^3 0 generates a code of length 97 over Z2[X]/(X^4) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+168x^94+412x^96+304x^98+32x^100+104x^102+3x^128 The gray image is a linear code over GF(2) with n=776, k=10 and d=376. This code was found by Heurico 1.16 in 1.16 seconds.