The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 0 X X 1 1 0 1 1 X 1 X 1 1 1 1 X 1 X 1 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X X X 0 X 0 0 0 X 0 X X 0 0 X X X X 0 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 X X X X X 0 0 0 0 X X 0 X X X X X 0 0 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 0 X X 0 0 X 0 X 0 0 0 X X 0 0 0 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X X 0 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X X X X X X 0 X X 0 0 X X X X X X X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 X X X X 0 X X X X 0 X X 0 X X X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X 0 0 0 0 0 0 X 0 0 X X X 0 0 0 0 X X 0 X X 0 0 0 0 X 0 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+42x^50+85x^52+6x^53+99x^54+38x^55+93x^56+104x^57+96x^58+168x^59+88x^60+196x^61+68x^62+196x^63+81x^64+168x^65+84x^66+104x^67+77x^68+38x^69+59x^70+6x^71+57x^72+46x^74+22x^76+14x^78+8x^80+3x^82+1x^98 The gray image is a linear code over GF(2) with n=124, k=11 and d=50. This code was found by Heurico 1.16 in 0.924 seconds.