The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 X 1 0 1 1 1 1 1 1 1 0 0 1 X 1 1 0 1 X 1 1 1 1 1 0 0 X 1 1 1 0 0 1 0 1 1 X 1 1 0 1 1 1 X 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 X+1 1 0 X+1 X+1 X X X+1 1 1 1 X+1 1 0 0 1 0 1 0 X X+1 X X+1 1 1 1 X+1 0 X 1 1 X+1 1 X+1 X+1 1 X+1 0 1 0 X 0 1 X X X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X X 0 X 0 0 X X X X 0 0 X 0 X X X X 0 0 0 X X X X X X 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 X 0 0 X X 0 X X X 0 X X 0 X 0 0 0 X 0 X X X 0 X X 0 0 X 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 0 0 X 0 0 X 0 0 0 0 X X X X X 0 0 X 0 X 0 X X X 0 0 0 X X X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X X X X X 0 X X X X 0 0 0 X X X 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X 0 0 X X X X 0 0 0 X X 0 0 X X 0 X X 0 0 X X 0 0 X 0 X X X 0 X 0 X 0 0 X X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 0 X 0 X 0 X X X X X X 0 X 0 X 0 X 0 X 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 0 X 0 X 0 0 X X 0 0 X X 0 X 0 X X 0 0 X 0 X X X X X 0 0 0 X X X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X 0 0 X X X 0 0 X 0 X 0 X X 0 0 X X X 0 0 0 X 0 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 0 X X 0 0 0 X X X X X X 0 X X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X X X X X X X X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+59x^48+52x^50+12x^51+195x^52+64x^53+209x^54+144x^55+339x^56+288x^57+333x^58+532x^59+432x^60+672x^61+456x^62+672x^63+432x^64+672x^65+443x^66+532x^67+338x^68+288x^69+298x^70+144x^71+185x^72+64x^73+173x^74+12x^75+56x^76+56x^78+8x^80+21x^82+3x^84+5x^86+2x^90 The gray image is a linear code over GF(2) with n=126, k=13 and d=48. This code was found by Heurico 1.16 in 11.1 seconds.