The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 X 1 1 X 1 1 0 1 1 X 1 1 1 X 1 1 1 1 1 1 0 1 X 0 1 X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 0 X+1 1 0 X+1 1 X X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 X 1 1 X 1 0 1 X 0 X X X X+1 1 1 0 1 X+1 1 0 0 X 0 X 0 X X X 0 X 0 X 0 X 0 0 X 0 X+1 X+1 X+1 X 1 1 0 X+1 X+1 X X 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X X X X 0 X X X X X 0 0 X X X 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 X 0 X X X 0 0 0 0 0 0 X X 0 X X 0 X X X X X 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X X X X X X X X X X X X X X 0 0 0 0 X X 0 0 0 0 X X 0 0 X X 0 X X 0 X X 0 X 0 X 0 X X 0 0 0 0 X X X X 0 0 X X 0 0 X X X 0 0 0 0 X 0 0 X X 0 X 0 X X 0 X 0 X X X 0 X 0 X 0 0 0 X X X X X X X X X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X X 0 X 0 X 0 X X 0 X 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 X X 0 0 0 0 X X X 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X X 0 0 0 X X 0 X 0 0 X 0 X X X X X 0 X 0 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X X 0 X X 0 X X 0 X X 0 X X X 0 0 X 0 0 X X 0 X X X 0 X 0 X 0 0 0 X 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 0 0 X X 0 X 0 0 X 0 0 X X 0 0 0 generates a code of length 85 over Z2[X]/(X^2) who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+52x^79+66x^80+69x^82+88x^83+8x^84+16x^86+64x^87+40x^88+36x^90+40x^91+8x^92+12x^95+2x^96+2x^98+4x^106+2x^112+1x^114+1x^128 The gray image is a linear code over GF(2) with n=170, k=9 and d=79. This code was found by Heurico 1.16 in 0.286 seconds.