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 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 1 1 1 X 1 1 1 1 0 1 1 1 0 1 1 1 X 0 1 1 0 1 1 1 1 0 1 X 0 X 0 X 0 0 X X^2+X 0 X^2 X X^2+X 0 X X^2 X 0 X^2 X X^2+X X 0 0 X X^2 X^2+X X^2 X^2+X X^2 0 X^2+X X X X^2+X 0 X^2 X 0 X^2+X 0 X^2+X 0 X^2 X^2+X X^2 0 X^2+X X^2 X 0 X^2+X X^2 X 0 X^2+X X^2+X X^2 X^2+X X^2 X X X X 0 0 0 X^2 X^2+X X X^2 0 0 X^2+X X^2 0 X X^2+X X^2 0 X^2+X X X^2 0 X^2 X^2 0 X^2+X X^2 X^2 X^2 X^2+X 0 0 X X 0 X^2+X X 0 X^2 X X 0 X^2 X X^2+X 0 0 X X 0 X^2+X X^2 X^2+X X^2 X^2 X^2+X X^2+X 0 0 X X X^2 X 0 0 X X X^2 0 X X^2+X X^2+X 0 X^2 X X^2+X X^2+X 0 X^2 X 0 X^2 X^2+X X X^2 X^2+X 0 0 X X X 0 X^2 X^2 X^2+X 0 X^2+X X^2+X X^2+X X^2 X^2 X^2 X X^2+X X X^2 X 0 0 X^2 0 X^2 X X 0 0 X^2+X 0 X X X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+50x^83+113x^84+96x^85+20x^86+132x^87+154x^88+200x^89+173x^90+202x^91+286x^92+126x^93+176x^94+56x^95+50x^96+50x^97+10x^98+42x^99+25x^100+34x^101+4x^102+28x^103+10x^104+6x^105+1x^106+2x^107+1x^160 The gray image is a linear code over GF(2) with n=364, k=11 and d=166. This code was found by Heurico 1.16 in 12.6 seconds.