The generator matrix 1 0 1 1 1 X^2 X 1 1 1 X^2+X 1 1 1 X^2+X 1 1 X^2+X 1 1 X^2 1 1 X^2 1 1 X^2 1 1 X^2 0 1 1 1 X^2+X 1 X 1 X^2 1 1 X^2+X 1 1 X^2+X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 X 1 0 1 1 X^2 X 0 0 1 0 1 1 1 1 X^2+X 1 0 1 1 X^2+X X^2+X+1 1 1 X+1 X X^2+1 1 X^2 X X+1 1 X X+1 1 0 1 1 0 1 1 0 X^2+X+1 1 X^2+X 1 1 1 X^2 X^2+X+1 X 1 1 1 0 1 0 X 1 X^2+X+1 X 1 X^2+1 X^2+X+1 1 X^2+X X+1 X^2+1 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X+1 X+1 1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 X^2+1 0 X^2 X^2 X^2 X^2+X X X 0 X X 0 X^2 X X^2 X X 0 X 1 X^2+1 X X^2+X X^2 X^2+1 1 1 0 0 0 X 0 X^2+X X X X^2 X X^2 0 X X^2+X X^2 0 0 X X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X 0 X X 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X 0 0 X 0 X^2+X X^2 X 0 X^2 X X X^2 X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X^2+X X X^2+X X^2+X X^2 0 X^2 0 X^2 X^2 0 X X^2+X X^2 X X^2+X X^2+X 0 X^2 X^2 X^2+X X^2+X X X X X^2 X X^2+X 0 0 X^2+X X 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 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 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 X^2 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 0 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 X^2 X^2 X^2 0 X^2 0 X^2 generates a code of length 92 over Z2[X]/(X^3) who�s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+50x^87+119x^88+124x^89+132x^90+102x^91+110x^92+114x^93+47x^94+54x^95+45x^96+36x^97+22x^98+18x^99+20x^100+12x^101+5x^102+5x^104+1x^106+2x^109+2x^116+2x^120+1x^130 The gray image is a linear code over GF(2) with n=368, k=10 and d=174. This code was found by Heurico 1.16 in 0.663 seconds.