The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 0 X 1 1 X 1 0 1 0 0 X 0 0 0 1 1 1 0 1 0 1 X 1 1 1 X 1 1 1 0 X 0 X 1 0 X 1 X 0 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X 0 X X+1 0 X X+1 X+1 1 X+1 1 X+1 1 1 0 1 X+1 0 0 X X+1 1 1 1 1 X X 1 1 1 X 0 0 X 1 0 1 0 0 1 X+1 X+1 X X+1 X+1 X+1 X 1 0 1 0 1 1 X+1 1 0 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X 1 X X 1 1 1 X+1 1 X 0 X+1 X+1 X 1 0 1 1 X 1 1 1 0 X+1 X+1 0 X 1 X+1 0 0 X+1 1 X+1 0 0 0 1 X+1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 1 X+1 X 1 X+1 0 0 X+1 1 X X 0 0 0 X X 1 1 X 1 X 0 0 X+1 X+1 0 X+1 1 X+1 0 X 0 1 1 X X X+1 X+1 1 X 1 1 0 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 0 X+1 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 X+1 X+1 X+1 0 1 X+1 0 1 1 1 0 X X+1 X 1 X+1 1 X+1 1 X X X+1 1 X 1 X 1 1 X+1 X+1 X X+1 1 X X X 1 X 0 1 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 X+1 0 X 1 1 X 0 X+1 1 1 X 1 0 1 1 1 X+1 0 X 0 1 X X+1 0 1 1 1 X X+1 X+1 1 X+1 1 X+1 1 1 X 0 X 0 1 1 0 X+1 1 0 1 X+1 0 0 1 X 0 0 1 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X X 0 0 X 0 0 X X X X 0 0 X 0 0 0 X X X 0 X X X X X X X 0 X 0 X X 0 X 0 X 0 X 0 0 X X 0 generates a code of length 87 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+44x^74+84x^75+180x^76+226x^77+290x^78+340x^79+402x^80+394x^81+429x^82+382x^83+369x^84+454x^85+394x^86+448x^87+405x^88+444x^89+368x^90+364x^91+343x^92+330x^93+309x^94+234x^95+232x^96+202x^97+153x^98+112x^99+96x^100+54x^101+51x^102+18x^103+20x^104+8x^105+9x^106+2x^107+1x^114 The gray image is a linear code over GF(2) with n=174, k=13 and d=74. This code was found by Heurico 1.16 in 13.9 seconds.