The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X X 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 X 1 0 1 0 1 1 X 1 0 X 0 0 X 0 1 0 1 1 0 X 1 1 1 X 0 X 0 1 X X 1 1 0 0 X 1 1 1 X 1 0 X 1 1 1 X X X 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 X 1 1 1 0 X 0 1 1 1 1 0 0 X+1 X 1 1 X+1 0 0 X 1 1 0 1 1 1 0 1 1 0 1 1 1 0 X+1 X X+1 0 0 1 X X X+1 1 1 0 1 X 1 1 0 1 0 0 1 1 X 1 1 X 1 X 0 X X 1 1 X X 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 X+1 X X+1 1 X+1 1 0 X+1 X 1 0 X+1 0 1 0 0 1 1 X X 0 X X 1 1 0 1 X+1 X+1 X 1 1 X+1 1 0 1 X 1 0 1 X X+1 1 1 1 X X X+1 X+1 1 1 X+1 1 1 X X+1 1 1 0 X X+1 X+1 0 X 0 1 X+1 X+1 X+1 1 X+1 0 1 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X X 0 X 0 0 0 0 X X X X X 0 X 0 0 X 0 X X X 0 X 0 0 X 0 X 0 X 0 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 X 0 0 X X X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 X X X 0 0 X 0 0 X 0 X 0 X X X X X X 0 X X X X 0 0 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X 0 X 0 X X X X 0 X 0 X X X 0 X 0 0 X X 0 X 0 0 X X 0 0 0 X 0 X X X X 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X X X 0 X X 0 0 X X X 0 X 0 X 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 X X X X 0 X X X X 0 X 0 X 0 X 0 0 X 0 X X 0 X X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 0 X X 0 0 X X 0 0 X 0 X X 0 X X 0 0 X X 0 X X X X 0 X 0 X X 0 0 0 X X 0 X 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X 0 0 X X X X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X 0 0 X X 0 0 X 0 X X X 0 0 0 X X X X X 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 X X X X 0 0 X X X 0 X 0 0 0 X 0 X 0 0 0 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X 0 X X 0 X X 0 X X 0 0 0 X 0 X 0 0 X 0 X X 0 X 0 X 0 0 0 X X X 0 0 X 0 X X X 0 X X X X 0 0 0 0 X X 0 0 0 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 0 X X generates a code of length 90 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+42x^76+66x^77+155x^78+154x^79+238x^80+242x^81+294x^82+344x^83+337x^84+364x^85+410x^86+390x^87+415x^88+456x^89+414x^90+488x^91+417x^92+462x^93+349x^94+390x^95+362x^96+306x^97+251x^98+216x^99+151x^100+128x^101+120x^102+58x^103+49x^104+20x^105+28x^106+8x^107+25x^108+4x^109+22x^110+7x^112+5x^114+4x^116 The gray image is a linear code over GF(2) with n=180, k=13 and d=76. This code was found by Heurico 1.16 in 16.7 seconds.