The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 1 1 0 X X X X 1 1 0 0 1 1 1 1 X 1 X 1 X 1 0 X 1 1 1 1 1 X 1 X 1 1 1 X 1 0 X 0 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X 1 0 1 1 1 1 X 0 0 X+1 1 X X+1 X+1 0 X 1 X 0 1 X 1 0 1 X 0 X+1 1 X 1 X+1 0 1 1 X 1 X 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X+1 X X+1 1 1 X+1 0 1 X 0 X X+1 1 1 0 0 X X X X X+1 1 0 1 X+1 1 1 X+1 0 X+1 X X 1 X X+1 1 1 1 0 0 X 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X 0 X+1 X 1 X X+1 X+1 1 0 X+1 X+1 0 1 X X 1 X+1 X+1 1 X+1 0 0 1 X+1 X 1 0 1 1 1 X X+1 X+1 X+1 1 X X 0 X 1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X X X X X 0 X 0 X X X X 0 0 X 0 0 X X X 0 0 0 X X X X X 0 0 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 X 0 X 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X X X X X X X 0 X 0 X X X 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X 0 X X 0 0 0 X 0 0 X X 0 X X 0 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X X 0 X X 0 0 X 0 X X 0 X 0 X X 0 X 0 0 X 0 0 X X 0 X X X 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X X 0 X X 0 X 0 0 X X X 0 X X X 0 0 0 0 X 0 0 X X 0 X 0 0 0 0 0 generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+100x^44+228x^46+626x^48+872x^50+1420x^52+1664x^54+2215x^56+2106x^58+2234x^60+1748x^62+1413x^64+860x^66+541x^68+184x^70+123x^72+18x^74+24x^76+6x^80+1x^84 The gray image is a linear code over GF(2) with n=116, k=14 and d=44. This code was found by Heurico 1.16 in 58.2 seconds.