The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X X^2 1 1 1 1 X 1 1 0 1 1 X^2+X 0 1 1 1 1 X^2+X 1 1 0 1 1 X^2+X X^2 1 1 1 1 X X X X X 1 1 1 1 1 X 1 1 1 1 1 1 1 0 1 0 X^2 X^2+X X^2 X^2 X X 1 X^2 X^2 X^2 X X X^2 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 X+1 0 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 1 X^2 X^2+X+1 X 1 1 0 X^2 X^2+X X X+1 X^2+X+1 X^2+1 1 X+1 X X^2+X+1 X^2+1 1 X^2+X+1 X^2+X+1 1 1 X X^2+1 1 X 1 1 1 1 1 X+1 X 1 1 X 0 X X^2 0 0 0 X^2 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 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 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 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 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 generates a code of length 83 over Z2[X]/(X^3) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+127x^78+243x^80+171x^82+183x^84+176x^86+67x^88+25x^90+12x^92+10x^94+5x^96+2x^102+1x^108+1x^134 The gray image is a linear code over GF(2) with n=332, k=10 and d=156. This code was found by Heurico 1.16 in 0.377 seconds.