The generator matrix 1 0 0 0 1 1 1 X^2 1 1 0 1 1 0 X^2 1 0 X^2 X 1 1 0 1 1 1 X 1 X^2 1 0 1 X^2+X 1 X^2+X X X 1 1 X 1 1 1 1 X^2 X X 1 1 1 1 0 X 1 1 X^2 X^2+X 1 0 1 X^2+X 1 1 1 X^2+X 1 X 1 X^2 X^2+X X^2 1 X^2+X 0 0 1 1 0 X 1 1 0 X^2+X 1 X^2+X 1 0 1 X^2+X X^2+X 1 X^2+X 1 1 0 1 0 0 X X X^2+X 0 1 X^2+1 1 X^2+1 X+1 1 1 X X 1 X^2 X^2+X X+1 1 X^2+X+1 X X^2+X 1 1 X^2+X X^2+X+1 1 0 1 X^2+1 X^2 X^2+X 0 X^2 X+1 1 X^2 0 1 X^2+X+1 X^2 1 1 X^2+X+1 X^2 X^2 X^2+X+1 1 X 0 X+1 X^2+X 1 X^2+1 0 X^2+1 1 X^2+X+1 X X^2+X+1 1 X^2 1 X^2 1 1 0 1 0 1 X^2+X 0 X^2+X X^2+X 1 X X 1 0 1 X X^2 0 0 1 1 X+1 X X+1 0 0 0 1 0 X X^2+X+1 X^2+X+1 1 X+1 0 X X+1 X^2+X X+1 X^2+X+1 0 1 X+1 X^2 X^2+X+1 X^2+X+1 1 X+1 1 X 0 0 1 X^2 X^2 X^2+1 X^2 X X^2+X 1 1 X X^2+X X X X^2 1 X 1 1 X^2+X X^2+X X^2+1 X^2+1 X^2+1 X^2+X X^2 X+1 X 1 X^2+1 X^2+1 1 X^2+X X^2 0 X+1 X^2 1 0 X^2 X+1 X^2+X X 1 0 1 1 0 1 X^2+X 1 X+1 X^2+1 X^2+X X^2+X 0 X+1 1 X^2 X^2 X X^2+X+1 X+1 X+1 X^2+X X^2+1 0 0 0 0 1 X+1 X^2+X+1 X 1 X X+1 X+1 X^2+X+1 X^2 X^2+X X^2+1 X^2+X X 0 1 1 X^2+X X^2+1 X+1 0 X^2+1 X^2 X^2 X^2+X+1 X^2+1 X+1 0 1 X^2 1 X^2 X^2+X+1 X^2+1 X+1 X^2+X X^2+X X^2+X 1 X X^2 X X^2+X+1 1 X+1 X 0 0 1 X^2+X X^2+X+1 X^2+1 X+1 X^2 X^2+X 1 X X^2+X+1 0 0 X^2+X X^2+X 0 1 0 X^2+1 1 X X^2+1 0 1 X^2+1 X^2+1 X^2 X^2+X+1 1 X+1 1 1 1 X^2+1 1 1 X X^2+1 X^2+1 X^2+X+1 1 X^2+X X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+100x^85+342x^86+492x^87+666x^88+500x^89+803x^90+616x^91+648x^92+498x^93+717x^94+400x^95+493x^96+418x^97+359x^98+244x^99+320x^100+162x^101+153x^102+92x^103+76x^104+38x^105+22x^106+12x^107+4x^108+8x^109+2x^110+4x^113+2x^118 The gray image is a linear code over GF(2) with n=372, k=13 and d=170. This code was found by Heurico 1.16 in 4.98 seconds.