The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 X X 1 1 1 1 0 1 X 1 0 X X 1 1 1 1 0 1 0 1 1 0 1 1 X 1 0 1 X X 0 1 0 1 X 1 1 X 0 1 1 1 0 X 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X 1 X X+1 X 0 1 1 X+1 1 1 1 0 1 X+1 X+1 1 0 X 0 X 0 X 1 X+1 X+1 1 X+1 1 0 1 1 1 X 1 1 0 X+1 1 1 X 0 0 1 1 1 X X+1 X+1 X X+1 X 1 X+1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 X 1 1 1 0 X X+1 X 0 X+1 X+1 0 X+1 1 0 X X+1 1 0 1 X 1 X+1 X X X+1 1 1 1 0 1 X 1 1 X 0 0 1 X 0 0 1 X+1 X+1 X+1 X X X X 0 0 1 X+1 X X 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 X 0 X X X X 0 0 0 X 0 0 0 X X 0 0 0 X X X 0 X 0 X X X 0 X X 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 X 0 X X 0 X X 0 X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 X 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X X 0 X X X X X X 0 0 0 X X 0 0 X 0 X X 0 0 0 X X 0 X X X 0 X 0 X 0 0 X 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X 0 0 X 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 0 X X 0 X X X 0 X 0 0 X 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 X X 0 0 0 0 X X X X X X X 0 0 X 0 0 0 X X 0 0 0 0 X 0 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 X X 0 0 0 0 X X X X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 X 0 X 0 0 X X X X X X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 X X X 0 X X X 0 0 X X X 0 0 0 X X X 0 0 0 0 0 X X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 0 X X X X X X X 0 0 0 X X X X 0 X 0 0 0 X X X 0 0 X 0 0 0 X 0 X 0 X X 0 0 X X 0 0 X X X X generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+85x^66+303x^68+589x^70+853x^72+1172x^74+1442x^76+1730x^78+2044x^80+1919x^82+1759x^84+1660x^86+1207x^88+733x^90+433x^92+230x^94+110x^96+56x^98+30x^100+15x^102+8x^104+3x^106+1x^108+1x^112 The gray image is a linear code over GF(2) with n=162, k=14 and d=66. This code was found by Heurico 1.16 in 51.9 seconds.