The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 X 1 1 0 1 0 1 1 X 1 1 1 1 0 0 1 1 X 1 1 X 1 1 X 1 0 0 1 1 X X 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 0 1 X 1 1 X+1 1 0 X+1 1 0 X+1 X X+1 1 1 X+1 X 1 X+1 0 0 1 X+1 X 1 1 1 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 0 0 0 0 X X 0 X X X X X 0 0 0 X X 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 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X X X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 0 X 0 X 0 X 0 0 0 X X 0 0 X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X 0 X 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 X 0 0 X 0 X 0 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X X X X X 0 X X 0 0 0 X X X 0 X X X 0 0 X 0 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X X 0 X 0 X 0 X 0 0 X 0 0 X X X 0 X X 0 X X X X X X X X 0 X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X X X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 0 X X 0 0 0 0 X 0 X 0 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 0 X 0 X X X 0 X X X X 0 X 0 0 X X 0 X X X 0 X 0 X 0 X 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 0 X 0 0 0 0 X X 0 0 0 X X 0 0 0 0 0 X X 0 X X X 0 X X X X 0 X X X X X X X 0 X 0 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+143x^48+20x^50+463x^52+296x^54+1115x^56+936x^58+2092x^60+1794x^62+2603x^64+1838x^66+2134x^68+988x^70+1102x^72+244x^74+431x^76+26x^78+121x^80+2x^82+31x^84+3x^88+1x^108 The gray image is a linear code over GF(2) with n=128, k=14 and d=48. This code was found by Heurico 1.16 in 46.8 seconds.