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 X^2 X^3+X^2 X^2 X^3+X^2 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^2+X X^3 X^3+X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 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 X^3 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 0 0 X^3 0 0 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 0 generates a code of length 96 over Z2[X]/(X^4) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+372x^92+112x^94+1076x^96+112x^98+372x^100+3x^128 The gray image is a linear code over GF(2) with n=768, k=11 and d=368. This code was found by Heurico 1.16 in 0.765 seconds.