The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X 0 X^2+X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 X 1 1 1 1 0 X 1 1 1 X^2+X X X^2+X 1 1 1 X^2 X 1 0 1 1 X 1 X^2+X 1 X^2 0 1 X X 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X X+1 X^2+1 0 X^2+X X^2 X X^2+X+1 1 1 X^2+X+1 X+1 X^2+1 0 X^2+X+1 1 X^2+X+1 X^2+X X^2+1 X^2+1 X^2 X^2+1 1 0 X^2+X+1 X 0 1 1 1 X X 0 1 1 X^2+X X X^2+X+1 X^2+X+1 1 1 1 1 1 1 X^2+X+1 1 1 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 0 0 X X X X^2+X X X^2+X 0 0 X X^2 X^2 X^2 X^2+X X^2 X^2+X 0 X^2+X 0 X X^2+X X X X^2+X X X^2+X 0 0 X^2 0 X^2 X^2 X^2+X X^2+X X^2+X X^2 0 X^2 X^2 X^2 0 0 X^2+X X^2+X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 generates a code of length 83 over Z2[X]/(X^3) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+104x^77+187x^78+198x^79+173x^80+182x^81+226x^82+168x^83+165x^84+114x^85+83x^86+104x^87+79x^88+96x^89+65x^90+34x^91+27x^92+10x^93+8x^94+6x^95+2x^96+6x^97+5x^98+2x^99+2x^102+1x^112 The gray image is a linear code over GF(2) with n=332, k=11 and d=154. This code was found by Heurico 1.16 in 3.9 seconds.