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 X 1 1 0 1 1 1 X 1 1 1 0 0 1 0 X 1 0 1 1 X 1 0 1 0 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 1 X 0 0 X X+1 1 1 X X 1 X 1 X+1 1 1 X 1 0 0 1 1 1 X X 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 X+1 X X 1 1 X+1 1 X+1 0 0 X 1 X+1 1 X X+1 X+1 0 X+1 0 X X+1 X 1 0 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 0 X X 0 0 X 0 0 X X 0 0 X 0 0 0 X X X 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 X X 0 X X X 0 X 0 X X 0 X X X X X X 0 0 X X 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 X 0 0 0 X X 0 X 0 0 X X 0 0 0 0 X X X 0 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 X 0 X X 0 X X X 0 0 0 X 0 0 0 X 0 X X X 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 0 X 0 0 0 X X X 0 0 X 0 X X X 0 X 0 X 0 X 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 0 0 X 0 0 0 0 X 0 X 0 X 0 0 X X X 0 X X X 0 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 0 0 X 0 0 X X X X X 0 0 X X X 0 X 0 X 0 0 0 0 0 X 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+65x^40+48x^41+168x^42+136x^43+262x^44+258x^45+325x^46+398x^47+428x^48+548x^49+534x^50+664x^51+539x^52+636x^53+535x^54+564x^55+477x^56+432x^57+332x^58+240x^59+180x^60+114x^61+131x^62+46x^63+65x^64+12x^65+22x^66+27x^68+1x^70+4x^72 The gray image is a linear code over GF(2) with n=104, k=13 and d=40. This code was found by Heurico 1.16 in 7.31 seconds.