The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 X 0 0 1 X X X 0 0 X 1 1 1 1 X X 0 0 0 1 X 1 1 1 X 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 X X 0 X+1 0 X+1 1 X 1 X+1 1 1 X 1 1 X 0 X 1 1 X+1 0 1 X+1 1 1 0 1 1 0 1 X X+1 X 1 1 X X 1 1 X+1 X+1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 X X+1 X X+1 X 1 X 0 1 0 1 1 X+1 X+1 1 1 X X 0 X X+1 1 0 0 1 1 0 0 X X X 0 X+1 X+1 X+1 0 X+1 X+1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 X X+1 0 X+1 X X 0 1 X X+1 X+1 X 0 1 1 X+1 X+1 1 X+1 1 0 0 0 X+1 X X 1 X 1 X X+1 0 1 0 X X+1 0 1 X+1 X X X+1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 X+1 X X X+1 X+1 0 X+1 X+1 1 X 0 1 1 X+1 X X+1 0 1 X+1 0 0 0 0 X+1 1 X X+1 0 X 0 1 X+1 1 1 X X 1 X X 0 X 1 1 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X X 0 X 0 X 0 0 0 0 0 X X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 X X 0 X X X X 0 0 X X X 0 X X 0 X X X X X X 0 0 X X X X X X 0 X X 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 0 0 X X X X X X X X X 0 X X X 0 X 0 X X 0 0 X 0 X X X 0 X X 0 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 0 X X 0 X X X X 0 X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 X 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X 0 0 0 X X X 0 X 0 0 X 0 0 0 X X X 0 0 0 X 0 X 0 X 0 X X X 0 0 0 0 0 0 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+86x^40+231x^42+504x^44+963x^46+1563x^48+2252x^50+3008x^52+3681x^54+3971x^56+4129x^58+3857x^60+3031x^62+2247x^64+1543x^66+874x^68+443x^70+241x^72+100x^74+29x^76+10x^78+3x^80+1x^82 The gray image is a linear code over GF(2) with n=114, k=15 and d=40. This code was found by Heurico 1.16 in 99 seconds.