The generator matrix 1 0 0 1 1 1 0 X^3 1 1 X^3 X^2 1 1 1 1 1 1 X^2+X X X 1 X^3+X X^3+X 1 X^3+X 1 1 X^3+X^2 1 1 0 1 0 X^2 1 1 1 X^3+X^2 1 X^2+X 1 X^2+X 1 X^3+X^2+X X^3+X^2+X 1 1 X 1 1 1 X^3+X 1 1 X^3 X^3+X 1 1 1 1 X^3+X 1 X^2 1 X^3+X^2 1 X 1 X^2 1 1 X^3+X 1 1 1 1 0 X^2+X 1 X^3+X^2 1 X^2 1 X^3+X^2 1 1 1 X^3 1 1 1 0 1 0 0 X^2+1 X^2+1 1 X^3+X^2+X X^3 X^3+X^2+1 1 1 X^3+X^2 1 X^2+X X^3+X+1 X+1 X^3+X^2+X X^3+X 1 1 X^2+X+1 1 X^3 X^2+X 1 X+1 X^2+X X^2 X^3+X+1 X^3+X 1 0 1 1 X^2+X+1 X^2 X^3+X+1 1 X X^2+X X^3+1 1 X^2+1 1 X^3+X^2 1 X^2+X 1 X^2 X^2+X X^3+X^2 1 X+1 1 X^3+X 1 X^3+X X^3+X^2+X+1 X 0 1 X^2+X+1 X^3 X^3+X^2 1 0 X X^2 1 X X^3+X 1 X^3+1 X^3+X^2+X+1 X^2+1 X^3+X+1 1 1 X^3 1 0 1 1 1 X^3+1 X^3+X^2+1 X+1 1 1 X^3+X^2+1 X^3+X 0 0 1 X+1 X^3+X+1 X^3 X^3+X^2+X+1 1 X^3+X^2+X X^2+1 1 X^3+X X^3+X^2+1 X X^3+X+1 X^3 X^3+X^2+1 X^3+X^2+X 1 X+1 X^2 X^3+X X^2+1 1 X^2 X X^3+X+1 1 1 X^3+X^2 0 X^2+X X^3+1 1 0 X^3+X^2+X+1 X^2+X X X^3+X+1 X^3+X^2+X 1 X^3+X^2 X^2 X+1 1 1 1 X^3+X^2+X+1 X^2+X X^3 X^3+X^2+1 X^2+X+1 X^3+X^2+1 X^3+1 X^3+X 1 X^3+X+1 X^3+X^2+X X^3+X X^2+1 X X^2+X X^2+X 1 X^2+X+1 X^3+1 X^2 1 X^3+1 X^2+X+1 X^3+X+1 X^2 1 X^3+X^2+1 X^3+X^2 X^2 X^3+X^2+X+1 X^3+X^2 X^3+X^2+X+1 X^2 X^3+X^2+X X^2+1 0 X^2+X+1 1 X+1 X^3+X X^3+1 X^2+1 X^3+X^2+X X+1 X^2+X 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 generates a code of length 92 over Z2[X]/(X^4) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+232x^87+735x^88+1080x^89+1088x^90+1006x^91+914x^92+720x^93+660x^94+604x^95+353x^96+272x^97+205x^98+90x^99+91x^100+68x^101+44x^102+20x^103+1x^104+4x^105+1x^106+1x^108+2x^110 The gray image is a linear code over GF(2) with n=736, k=13 and d=348. This code was found by Heurico 1.16 in 17 seconds.