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 X^2+X 1 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 X 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 X^2 X^2 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 1 X^2+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 X^2+X X 0 X^2 X^2 X X^2+X 0 X X^2 X+1 X^2 X^2+X X X^2 1 X 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 0 X^2 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 0 X^2 X^2+X X X X^2 0 X X^2+X X X^2+X X^2 0 X^2 X^2+X X 0 X 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 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 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 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+46x^86+142x^87+77x^88+112x^89+93x^90+182x^91+71x^92+102x^93+41x^94+54x^95+35x^96+24x^97+8x^98+6x^99+5x^100+18x^101+1x^102+1x^104+2x^116+2x^118+1x^138 The gray image is a linear code over GF(2) with n=364, k=10 and d=172. This code was found by Heurico 1.16 in 0.638 seconds.