The generator matrix 1 0 1 1 1 0 1 X^2+X 1 1 1 X^2+X 1 1 X^2 X 1 1 1 1 1 1 X^2 1 X 1 1 1 X^2 1 X^2 1 1 X 1 X^2+X 1 1 0 X 1 1 1 1 1 X X^2 1 1 1 X 1 1 1 X^2+X 1 1 0 1 X 1 1 1 1 1 X 1 X 1 1 1 1 X 1 1 1 X 1 1 X^2+X X 1 1 1 1 X 1 0 1 1 0 X^2+X+1 1 X 1 X^2+X+1 X^2 1 1 X X+1 1 1 X^2+X X^2+1 0 X+1 X X^2+1 1 X 1 0 X^2+X+1 X^2+X 1 X 1 1 0 1 X^2+1 1 X+1 0 1 1 X^2+1 X X^2+1 X^2 1 1 1 X X+1 X 0 X^2 X^2 X^2+X 1 X X^2+X 1 X^2 1 X^2+X X+1 X^2+X+1 0 X^2+1 X^2+X 0 X^2 X+1 X X+1 X+1 1 0 X^2+X X^2+X 1 0 X^2+X 1 X^2 X^2+X X^2 0 1 1 X^2 0 0 X 0 X^2+X X X^2 X^2+X 0 X X^2 0 X^2+X X^2 X X^2 0 X^2 X X X X X X^2+X X^2 X^2+X 0 X^2+X X^2+X X^2 X X^2+X X^2 X^2 X^2 X^2+X X X^2 X^2 X X^2+X 0 X^2+X 0 0 0 X^2 X 0 0 X^2+X X X X^2 0 0 X^2+X 0 X^2+X X^2+X X^2+X X^2+X 0 X X^2 X^2+X X^2 0 X^2+X 0 X^2+X X^2+X X X^2+X X^2+X 0 0 X^2 X X^2+X X^2+X X X X 0 X X^2+X 0 0 0 X 0 X X X X^2+X X^2 X^2+X X^2 0 X^2 X^2 X 0 0 X X^2+X X^2+X X X^2 X^2 X X^2+X X^2+X X 0 0 X^2+X X^2 X X^2 X^2+X X^2+X X^2 X^2 0 X^2 X X^2 X^2+X X X^2 X^2+X X 0 0 X^2+X X^2 0 X^2 X X^2+X X^2 X^2+X X X X^2 X X^2+X 0 X^2+X X^2 X^2+X X^2 X^2+X X 0 X^2 X^2 0 0 0 X X^2 X^2+X X^2+X 0 X X X X^2+X X^2 X^2+X X 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 generates a code of length 87 over Z2[X]/(X^3) who´s minimum homogenous weight is 81. Homogenous weight enumerator: w(x)=1x^0+122x^81+193x^82+178x^83+175x^84+164x^85+209x^86+170x^87+137x^88+148x^89+117x^90+130x^91+97x^92+54x^93+65x^94+22x^95+18x^96+18x^97+6x^98+8x^99+4x^101+2x^102+2x^104+4x^107+2x^109+2x^120 The gray image is a linear code over GF(2) with n=348, k=11 and d=162. This code was found by Heurico 1.16 in 0.83 seconds.