The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 0 1 0 X 1 0 1 0 1 0 X 1 1 1 1 X 1 1 0 0 0 1 0 X X X X 1 1 X 1 X X 0 1 X 1 1 1 X 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 X X 0 1 1 X+1 0 X+1 1 X 1 0 0 1 X 1 X 0 X+1 1 1 1 1 1 X 1 1 1 1 X 1 X+1 X 1 1 X 1 X+1 1 X 1 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X 0 1 1 X+1 X+1 0 1 1 X 0 X+1 X X 1 X+1 0 X X+1 0 X X+1 X+1 1 1 1 0 0 X+1 0 1 0 0 0 X 1 0 X+1 0 X+1 X 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 X 0 X 0 X+1 X+1 X+1 1 X 0 0 1 X+1 X X+1 X X X 1 0 X 0 1 0 X X+1 0 0 0 X+1 X+1 X+1 1 0 0 0 X+1 X X X X 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 X X 1 1 X+1 X+1 X X X+1 1 0 X+1 X 1 1 X 1 X 0 1 1 1 X+1 0 1 1 0 X+1 0 X 0 1 0 1 0 X+1 1 0 X X+1 1 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 X X X 0 X 0 X X 0 X X X 0 0 0 X X X X X 0 0 0 X X X X 0 0 X X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X X X 0 0 X X 0 X X 0 X X 0 0 X X 0 0 0 0 X X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 X 0 X 0 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 X X X X 0 0 0 X 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 X 0 0 0 X X 0 X 0 0 X 0 0 X X 0 0 0 X 0 X 0 0 0 X 0 X generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+198x^50+648x^52+1044x^54+1468x^56+1732x^58+1945x^60+2249x^62+2079x^64+1744x^66+1486x^68+970x^70+504x^72+235x^74+57x^76+17x^78+4x^80+2x^82+1x^106 The gray image is a linear code over GF(2) with n=124, k=14 and d=50. This code was found by Heurico 1.16 in 66.6 seconds.