The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 0 X 0 0 1 0 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 0 0 X 1 1 0 X 1 X 1 1 0 X 0 X 1 X X 1 X 0 1 X X 1 X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 X X 0 0 X 0 X 0 X X X X 1 X+1 1 1 1 1 X+1 1 1 1 X+1 1 1 X+1 1 1 1 1 X+1 0 1 X+1 0 1 1 0 1 X+1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 1 1 1 1 X+1 1 X+1 1 1 X+1 1 1 0 X 1 X X+1 X+1 0 X+1 0 X X+1 X 0 X 1 X X+1 0 1 1 0 0 1 X+1 X X X 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X+1 1 1 0 1 1 X X+1 X X+1 X+1 X X+1 0 0 X X+1 0 1 X+1 X 0 X+1 X+1 X+1 1 X+1 X+1 0 0 1 1 X+1 1 0 1 X X X+1 0 0 X X+1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 X+1 1 X X 1 X 1 0 0 1 1 0 X 1 X+1 1 X X+1 1 1 1 X+1 X+1 0 X+1 X+1 X X X+1 X+1 1 X+1 0 X+1 X X X X+1 X+1 1 0 X X X+1 0 1 0 0 0 0 0 1 0 1 0 X+1 1 1 0 X+1 1 1 1 X X+1 0 X+1 0 X+1 1 1 X X+1 0 X 0 X X X+1 1 X+1 X 0 X 0 X X 0 0 1 0 X 1 1 X X+1 X X 0 X+1 X X+1 X 0 X 1 1 X+1 0 0 0 0 0 0 0 1 1 X+1 X 1 0 0 1 1 0 X X X X+1 1 0 X+1 X+1 1 X+1 0 0 0 X+1 X+1 X+1 1 0 X 0 X 1 1 X X 0 1 0 1 X X+1 0 0 1 X X+1 1 1 1 0 0 1 X X 1 0 X 0 0 0 0 0 0 0 X X 0 0 X X 0 X X 0 X X X X X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 0 X 0 0 0 0 X X X X X 0 X X X X X 0 X 0 X X 0 X generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+68x^49+171x^50+282x^51+438x^52+548x^53+775x^54+1006x^55+1037x^56+1324x^57+1563x^58+1772x^59+1994x^60+2038x^61+2150x^62+2182x^63+2194x^64+2134x^65+2073x^66+1970x^67+1688x^68+1256x^69+1058x^70+954x^71+692x^72+464x^73+325x^74+248x^75+126x^76+94x^77+71x^78+34x^79+19x^80+10x^81+4x^82+2x^84+1x^86+1x^88+1x^94 The gray image is a linear code over GF(2) with n=126, k=15 and d=49. This code was found by Heurico 1.11 in 54 seconds.