The generator matrix 1 0 0 1 1 1 0 1 X^2 1 1 X X^2+X 1 1 X^2+X 1 X^2 1 1 X^2+X 1 X 1 X^2 1 0 X^2 1 X^2+X 1 X^2 1 1 X^2 1 1 1 0 1 X^2+X 0 1 X 1 1 X^2+X 1 1 X X X 1 1 1 X^2+X 1 1 1 X^2 1 X^2 1 X^2+X 1 1 X^2 X^2 1 X^2 X^2 X^2+X X^2+X 1 0 0 0 1 X^2 1 1 1 X X^2+X 0 1 1 X^2+X 1 1 X^2 1 1 1 1 X X X 0 1 0 0 1 X^2+1 1 X 1 1 X^2+X 1 X^2+X X^2+1 X^2 1 X^2+X+1 X^2+X X+1 X^2 1 X^2+X 1 X X^2 X^2+X+1 1 1 1 0 X^2 X X+1 X 1 X+1 X^2 0 1 X^2+1 X^2+X X^2 X^2+X 1 X+1 0 1 X^2 X^2 1 1 1 X^2 X^2+1 X 1 1 X^2+X+1 X^2+X 1 X 1 X^2+X X^2 X^2+X 1 1 1 X^2+X+1 1 1 1 1 X^2+X+1 X^2+X 1 X^2+X X 0 X^2 X 1 X^2 1 1 X^2+1 X+1 X^2+X X^2+1 X 1 X^2+X+1 X^2+X+1 X+1 X+1 1 1 1 0 0 1 X+1 X^2+X+1 0 X+1 X^2+1 X^2+X 1 X^2 X^2+1 1 X X^2+1 X^2+X 1 1 X X^2+X X+1 X+1 0 X 1 X^2+X 0 1 X^2+X+1 1 X^2+X+1 1 0 X^2+1 X^2+X+1 X+1 1 X^2 1 0 1 1 X^2 X^2+1 X^2+1 X^2+1 0 X^2+X+1 X^2 X^2+1 X^2+X X+1 X^2+X X+1 X^2+X X^2+X+1 X^2+1 X+1 X^2+X+1 0 1 X 1 1 X X X^2+1 X^2+X+1 1 X X^2+1 X^2+1 X^2+X+1 X^2+1 1 X^2+X 1 X 1 X^2+X X^2 1 1 X^2+X X^2 0 X^2+X+1 1 X^2+X+1 X^2+X 1 X^2 X^2+X X^2+X 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 generates a code of length 98 over Z2[X]/(X^3) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+280x^93+157x^94+312x^95+106x^96+340x^97+73x^98+196x^99+64x^100+160x^101+47x^102+76x^103+15x^104+64x^105+19x^106+44x^107+1x^108+40x^109+24x^110+12x^111+2x^112+12x^113+3x^116 The gray image is a linear code over GF(2) with n=392, k=11 and d=186. This code was found by Heurico 1.16 in 35.2 seconds.