The generator matrix 1 0 0 0 0 1 1 1 1 1 1 1 0 X 0 0 0 0 X X 0 0 1 1 1 0 1 1 1 X 1 1 1 X 1 0 X X 0 0 X 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 X X 1 1 0 X X 0 X X+1 X+1 0 1 X+1 0 1 1 X X+1 X 1 1 1 X 1 1 1 1 0 1 1 1 1 1 X+1 X 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 X X 0 0 X 0 X X 1 X+1 0 1 X X+1 X X X+1 X+1 X 1 0 X+1 X 1 X 0 1 X 0 X+1 1 0 0 X 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 1 1 1 X X X+1 X 1 0 1 0 0 0 1 X+1 X X+1 1 0 X+1 X X+1 X+1 1 0 0 1 1 X 0 X 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 X 1 X+1 1 0 1 1 1 1 0 0 X+1 X 1 X 1 X X+1 1 1 X X 0 1 0 1 X+1 0 X+1 X+1 1 X+1 0 1 0 X+1 0 0 X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 X 0 0 0 X X 0 0 X X 0 X X 0 X 0 0 X X X 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X 0 X X X X X 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X 0 X 0 X X X 0 X X X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X X X 0 X X X 0 X X X X 0 X 0 X X 0 0 0 X 0 0 0 X 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 0 X 0 0 X X X 0 0 0 X X X X X 0 X X 0 X X 0 X 0 X X 0 0 0 X 0 0 X X X X 0 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 0 X 0 X X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 X X X X 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+53x^40+194x^42+339x^44+535x^46+740x^48+1021x^50+1384x^52+1607x^54+1780x^56+2041x^58+2465x^60+2736x^62+2892x^64+2918x^66+2429x^68+2015x^70+1731x^72+1568x^74+1353x^76+1088x^78+821x^80+501x^82+325x^84+142x^86+62x^88+13x^90+9x^92+5x^94 The gray image is a linear code over GF(2) with n=128, k=15 and d=40. This code was found by Heurico 1.16 in 99.9 seconds.