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 X 1 X 1 1 1 1 0 1 1 X 1 1 1 0 1 0 X 0 1 1 1 X 0 1 X 0 1 X 1 X 1 X X 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 X 0 X 1 0 X+1 0 0 0 X+1 1 1 X 0 X 1 1 X 1 1 X+1 X 1 1 1 0 1 0 0 X X+1 1 X 1 X 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 0 X X+1 X+1 X X 1 X+1 0 X X+1 X 1 X+1 1 X X 1 X+1 X X X+1 1 0 X+1 1 X 1 1 X X 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 0 X 1 X 0 1 0 X+1 X+1 X+1 X+1 X X+1 1 X+1 0 0 1 1 1 1 1 X 0 0 1 X+1 X 1 1 0 0 X X+1 X 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 X+1 X+1 X 1 X+1 X X 0 X+1 1 1 0 X 1 0 1 X+1 1 1 1 X+1 X+1 1 0 1 0 X+1 1 X+1 0 X 1 0 0 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 1 X 1 0 1 1 1 X+1 1 X X+1 X 0 0 X+1 X X X X+1 X+1 0 0 X X X+1 0 0 1 0 X+1 X+1 X+1 X+1 X X+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 0 X 0 X 0 X 0 0 X X 0 X X X 0 0 0 X X 0 X 0 X X 0 0 X X 0 0 0 X 0 0 0 0 generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+56x^76+102x^77+187x^78+234x^79+264x^80+324x^81+374x^82+380x^83+409x^84+456x^85+426x^86+408x^87+417x^88+424x^89+376x^90+416x^91+385x^92+366x^93+367x^94+342x^95+290x^96+244x^97+207x^98+192x^99+164x^100+100x^101+87x^102+56x^103+52x^104+32x^105+22x^106+20x^107+6x^108+1x^110+4x^112+1x^122 The gray image is a linear code over GF(2) with n=178, k=13 and d=76. This code was found by Heurico 1.16 in 14.6 seconds.