The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 1 0 1 1 1 1 1 1 0 1 X 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 0 1 1 1 0 0 X 1 1 1 1 1 1 1 1 X 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 1 0 X+1 1 X+1 1 X 0 1 X+1 0 1 1 1 1 X+1 1 0 1 X 1 0 0 1 1 1 1 X+1 1 X+1 X+1 X+1 X+1 X+1 X+1 X+1 1 1 X+1 X 1 1 1 X+1 X+1 1 0 1 X+1 1 X+1 1 1 1 X X+1 X X 1 1 1 1 0 1 0 X+1 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 0 X X 0 X X X 0 0 X X X 0 0 0 X X X X X X X 0 0 X 0 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 0 X 0 0 X X X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X X X X 0 0 0 X 0 0 X 0 0 X X X 0 0 X X 0 0 X 0 0 X X 0 X X 0 X 0 X X X 0 0 0 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X X 0 X X X X X 0 0 X X X X X 0 X X 0 0 0 X 0 X X X 0 0 0 X X X X X 0 0 0 0 0 X 0 X 0 0 X X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 X X 0 0 X 0 0 0 0 X X 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 0 0 X 0 0 0 0 X X 0 0 X X X X 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 X X X X 0 0 0 X X X X 0 0 X X X X X X 0 X X 0 X X X 0 X X X 0 X 0 0 X 0 0 X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 X X X X X 0 0 0 0 X X 0 X X 0 X X 0 0 0 X 0 0 0 X X 0 X X 0 X X 0 0 0 X 0 X X 0 0 X 0 0 X X 0 X 0 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+62x^80+113x^82+119x^84+141x^86+116x^88+98x^90+109x^92+102x^94+72x^96+41x^98+21x^100+13x^102+3x^104+4x^106+3x^108+1x^112+2x^116+1x^120+2x^132 The gray image is a linear code over GF(2) with n=178, k=10 and d=80. This code was found by Heurico 1.16 in 0.389 seconds.