The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 X 1 0 1 1 X 1 X 0 1 X 1 X 1 1 X X 0 1 1 1 1 1 1 0 0 1 X 1 1 1 1 X 1 1 X 1 1 1 1 0 X 1 1 X 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 0 X 0 X+1 1 0 1 0 X+1 1 1 0 X 0 0 1 X 0 0 1 1 X X X 1 1 1 1 X 1 X X 0 X 1 0 X 1 X+1 X 0 0 1 1 0 1 X 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 0 1 1 X+1 X+1 1 1 X X+1 0 X 0 1 1 0 1 0 1 X 0 X+1 X 1 X+1 1 1 0 1 X 0 X+1 X+1 0 0 1 1 1 X X 1 X 0 1 X X X 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 1 X 1 X+1 0 0 0 1 0 1 X 1 1 X+1 X X+1 1 1 X+1 X+1 X X 0 0 X+1 1 0 X+1 X X+1 X X+1 X+1 X 0 1 X+1 0 X+1 X+1 X 1 0 0 X 0 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 X X X X X X X X X X 0 X X X X X 0 X X 0 0 X X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X X X X X X X X 0 0 0 X 0 0 0 X 0 X 0 0 0 0 0 X 0 X X X X 0 X X 0 X X X 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 0 0 0 X 0 X X X X X X 0 X 0 X X 0 X X 0 0 X 0 0 X X X 0 0 X 0 X 0 0 0 X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X X X 0 0 X X X X 0 0 X X X 0 X 0 0 X X 0 X 0 X X 0 0 0 0 0 X X 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 0 0 0 X X 0 0 X X X 0 X X X 0 0 0 0 0 X X 0 X 0 0 X 0 X X X X 0 0 0 0 0 X 0 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+58x^50+90x^51+155x^52+182x^53+282x^54+318x^55+401x^56+436x^57+437x^58+480x^59+464x^60+558x^61+516x^62+534x^63+529x^64+520x^65+434x^66+410x^67+316x^68+274x^69+246x^70+186x^71+145x^72+68x^73+53x^74+28x^75+32x^76+10x^77+20x^78+2x^79+4x^80+2x^82+1x^84 The gray image is a linear code over GF(2) with n=124, k=13 and d=50. This code was found by Heurico 1.16 in 9.46 seconds.