The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 0 1 X 1 0 1 1 1 1 1 0 1 0 X 1 0 1 1 1 1 1 1 1 0 1 X X 1 1 X 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 X 1 1 1 X+1 1 X X+1 X+1 X X+1 1 0 1 1 1 1 1 0 X X X+1 X X+1 1 X+1 X 1 X X+1 1 1 X 1 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 1 0 1 1 X+1 X+1 1 0 X+1 0 1 0 X+1 0 1 X X+1 0 X+1 X+1 0 X+1 0 X 1 X+1 1 X+1 X+1 X 0 X X+1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X X 0 X 0 X X 0 X 0 0 0 X 0 X 0 0 0 X X X X 0 0 X 0 X X 0 0 0 X 0 X 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 0 0 0 0 X X X X X X X X X X X X 0 0 X X 0 X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X X 0 X X 0 0 X X 0 X 0 X X 0 0 X X X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 X X X X 0 X X X X X 0 X X 0 0 X X 0 X 0 X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X X X 0 X 0 0 X X X X X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X X X 0 X X 0 0 X 0 0 X 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X 0 0 0 0 X X X 0 0 0 X X X 0 X X X 0 X 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 X X 0 0 0 X X 0 0 0 X 0 X X 0 0 0 X X X 0 0 0 X X 0 0 X X 0 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+256x^40+314x^42+977x^44+1064x^46+1975x^48+2228x^50+2781x^52+2138x^54+2038x^56+1154x^58+941x^60+252x^62+208x^64+16x^66+35x^68+2x^70+1x^72+2x^76+1x^88 The gray image is a linear code over GF(2) with n=104, k=14 and d=40. This code was found by Heurico 1.16 in 69.1 seconds.