The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 0 1 1 X 1 0 1 1 X X 0 0 1 1 1 X 0 1 1 X 0 0 0 0 1 0 0 X X 1 0 1 1 1 X 0 X 1 0 1 0 1 1 1 X 1 X 0 1 1 1 X 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X 0 X 0 X X X 0 X 1 1 1 1 X+1 1 1 1 1 X+1 1 X+1 X+1 X+1 1 1 1 X 1 0 1 X+1 1 1 1 1 1 0 0 1 0 1 X+1 X X X X+1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 X+1 1 X X+1 1 1 0 X X+1 0 X+1 1 1 X X+1 1 1 X X+1 X+1 1 X X 0 1 X+1 0 1 0 0 X 1 1 0 1 0 0 1 X+1 X+1 X+1 X 1 0 X X 0 X 0 X 0 X+1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 X 0 0 0 X X X X X 1 X+1 X+1 X+1 1 1 X+1 X+1 1 1 1 X+1 X+1 1 0 X 1 1 0 0 X+1 0 X+1 X 1 1 1 0 1 1 0 0 X 1 X 0 X 1 X+1 X+1 0 1 X X+1 X X+1 X 0 X+1 1 X+1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 X X X X+1 1 1 1 1 X+1 0 X 1 X X X X X+1 1 X+1 X X+1 X+1 0 1 0 X+1 X X+1 1 1 0 0 X+1 X X 1 1 0 X X+1 0 1 1 X 0 X X 0 X 1 0 0 X 1 0 0 X X X 0 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 X+1 0 0 0 1 1 0 X X X+1 X+1 1 0 X+1 1 0 1 1 X 0 1 1 X 0 0 X 1 X+1 1 0 X X 0 1 X 0 1 1 X+1 0 X+1 X 0 0 X X+1 X X+1 1 X X 1 1 1 0 X+1 0 1 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X 1 1 0 0 X+1 X+1 0 0 X+1 1 0 X 1 0 X X+1 X 1 X+1 X X 0 X 0 1 0 X+1 X X+1 X+1 1 X X+1 X+1 X+1 0 1 1 1 0 1 X+1 X+1 X+1 0 0 0 X 0 1 1 1 X+1 X+1 X X 0 X+1 1 0 0 0 0 0 0 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 0 0 X X 0 0 X 0 X X X X 0 X X 0 X X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X 0 0 X 0 0 generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+75x^58+110x^59+308x^60+362x^61+575x^62+722x^63+826x^64+980x^65+1180x^66+1282x^67+1480x^68+1726x^69+1778x^70+1890x^71+1933x^72+2118x^73+1921x^74+1988x^75+1874x^76+1822x^77+1579x^78+1352x^79+1160x^80+972x^81+814x^82+562x^83+490x^84+294x^85+222x^86+146x^87+111x^88+42x^89+40x^90+10x^91+8x^92+4x^93+4x^94+2x^95+1x^96+2x^98+1x^102+1x^118 The gray image is a linear code over GF(2) with n=146, k=15 and d=58. This code was found by Heurico 1.11 in 60.4 seconds.