The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 0 0 0 1 1 0 0 1 X 1 1 1 1 1 0 X 1 1 X 0 1 1 0 X 1 1 1 1 X 1 X 1 X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 1 1 0 X 1 0 X X 0 X 1 X+1 0 0 1 1 1 X+1 1 1 X+1 X+1 0 1 X X 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 0 X+1 1 1 1 1 1 1 1 X+1 1 X 0 0 X 1 X 1 1 0 1 X 1 0 X X 1 1 0 1 X+1 X 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X 0 X X X X 0 0 0 0 0 X 0 0 X 0 0 X X 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 0 0 X 0 0 0 X X 0 X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X 0 0 X X 0 0 X X 0 0 0 X 0 X X 0 X X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 0 X X X 0 X X X 0 X 0 0 0 X X X X 0 X 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 0 X X X X X 0 0 X X X 0 X X 0 0 0 X X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X 0 X X X X X X X X 0 0 0 0 X 0 0 X X X 0 0 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 0 X 0 X X 0 X X 0 X 0 0 0 0 X X 0 X X X X X X X 0 X X 0 X X 0 X 0 X X generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+47x^42+50x^43+154x^44+134x^45+256x^46+278x^47+346x^48+442x^49+430x^50+528x^51+499x^52+592x^53+591x^54+620x^55+578x^56+596x^57+449x^58+434x^59+333x^60+230x^61+211x^62+126x^63+109x^64+50x^65+49x^66+12x^67+21x^68+4x^69+13x^70+6x^72+1x^76+1x^78+1x^82 The gray image is a linear code over GF(2) with n=108, k=13 and d=42. This code was found by Heurico 1.16 in 7.94 seconds.