The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 0 0 1 1 1 1 0 1 1 1 X X 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 X 1 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 1 1 X X+1 0 X+1 X 1 X+1 0 1 1 1 1 0 0 X 1 X+1 0 X 0 1 X+1 1 X+1 1 X+1 1 0 X+1 X+1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X+1 X+1 0 0 X 1 1 X+1 X+1 X+1 0 X X X+1 1 1 0 1 X X+1 1 1 0 1 X+1 X 0 1 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 X X 0 0 0 0 0 X X X 0 0 X X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X X X 0 0 X X X 0 X 0 X X 0 0 X X 0 X X X X 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 X 0 X X X X 0 0 X X 0 X 0 X 0 0 X X X X X X 0 0 X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X 0 X X 0 0 0 X 0 X X 0 0 X 0 X X X 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X X 0 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X X 0 0 X 0 X X X 0 X 0 0 0 0 X 0 X 0 0 0 X 0 0 0 0 X X 0 X X X generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+14x^41+86x^42+110x^43+205x^44+212x^45+305x^46+348x^47+413x^48+406x^49+477x^50+576x^51+552x^52+658x^53+598x^54+648x^55+518x^56+554x^57+400x^58+286x^59+269x^60+168x^61+125x^62+76x^63+72x^64+34x^65+45x^66+4x^67+14x^68+2x^69+12x^70+4x^72 The gray image is a linear code over GF(2) with n=106, k=13 and d=41. This code was found by Heurico 1.16 in 69 seconds.