The generator matrix 1 0 0 1 1 1 X 1 1 0 0 X 1 1 1 0 1 1 1 0 X 1 1 1 1 0 0 X 0 0 X 1 1 X 1 1 1 X 1 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 0 1 X 0 0 1 0 0 1 1 1 0 X X 1 1 1 X+1 0 1 1 X 1 1 0 0 0 1 X+1 1 1 X 0 X X X X+1 1 0 X+1 X+1 1 1 1 1 X+1 X X 1 X X+1 X+1 X+1 0 X+1 1 X+1 X 1 X 1 1 1 0 0 1 1 1 0 1 X X+1 1 0 1 X+1 X 0 X+1 X+1 1 X 0 1 0 1 X+1 X X 1 1 1 1 1 X X+1 1 1 X 1 X 0 X 0 X X+1 0 X+1 X+1 0 X 0 1 0 0 1 X 1 1 1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 0 0 X 0 X X X X X X 0 X X X X X X 0 0 X 0 X 0 X 0 X X X 0 X X 0 0 0 0 0 0 X X X X X 0 0 0 0 X 0 0 X X X X X X X X 0 X 0 0 X X 0 X X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X X 0 X 0 0 X X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 X X X X X X X X 0 0 X 0 X 0 0 0 0 0 X X 0 X 0 0 X X 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 X 0 0 X 0 X 0 X generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+115x^54+69x^56+144x^58+26x^60+72x^62+19x^64+26x^66+6x^68+21x^70+7x^72+6x^74 The gray image is a linear code over GF(2) with n=118, k=9 and d=54. This code was found by Heurico 1.16 in 0.171 seconds.