The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  0  1  1  1  1  0  1  X  1  X  1  0  X  X  1  1  X  0  1  1  1  1  X  X  1  1  X  0  0  1  0  X  0  1  1  1  1  1  0  1  1  0  0  0  0  0  1  0  1  0  1  1  0  1  0  0  1  X  0  X  1  X  0  1  1  0  1  X  X  1  0  1  X  1  1
 0  1  0  0  0  1  1  1  0  0 X+1 X+1  1  X  1  X X+1  0  1  1  0  1  X  X  0  1  1  X X+1  1  0  1  X  0  1  X  X  1  X X+1  1  0  1  1  0  1  1 X+1  1  0  1 X+1  0 X+1  X  1  X  X  1  1  1  X  0  1  X X+1  1  0  X  1  1  1  1  1 X+1  1  1  X X+1  X  X  1  X  1  1  X  X  1  0
 0  0  1  0  1  1  0  1  0  1  1  0  0  1 X+1 X+1  X  0  1 X+1 X+1  X  0  1  0  X  X  0  0  1  1  X  1  1  X  1  1  1  X  1  1  1  X  1  1  1  X X+1 X+1 X+1 X+1  1  0  0  X X+1  1  1 X+1  0  1  X X+1  0  1  0  X  X  X  0  0 X+1  1  X  0  X X+1  1  0  1  X X+1  1  1  1  X  0 X+1  0
 0  0  0  1  1  0  1  1  1  0  1  X  1  1  0  X  1 X+1  X X+1  1  1  0  0 X+1  X  0  1  1  0  0  X  0 X+1  0 X+1  1  X  0  1  0 X+1  1 X+1  0 X+1 X+1  0  X  1  1 X+1  1  1  1  X  1 X+1 X+1  X  X  1  X X+1 X+1  1 X+1  1  1  0  0 X+1  0  X  1  X X+1  X  X  0  X  0  0  1 X+1 X+1  1  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  0  X  X  0  X  0  0  X  0  0  X  0  X  0  0  X  X  X  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  0  X  X  X  0  0  X  0  X  0  0  0  X  X  0  X  X  X  X  X  0  0  0  X  0  0  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  0  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  0  0  0  0  0  X  X  0  0  X  0  X  X  0  0  X  0  X  X  X  0  X  0  0  X  0  0  X  0  X  0  0  X  0  X  0  X  0  X  X  X  0  0  X  X  0  0  X  0
 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  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  X  X  X  X  X  X  X  X  0  X  0  0  X  X  X  X  X  0  0  0  0  X  X  0  0  X  0  0  X  X  X  0  0  0  X
 0  0  0  0  0  0  0  X  0  0  X  X  0  0  X  0  0  X  X  0  X  0  0  X  0  X  X  0  X  X  X  X  0  X  0  0  X  0  0  X  0  0  0  X  0  X  0  X  X  0  0  0  X  X  X  X  X  X  X  0  X  X  X  0  0  X  X  0  X  X  X  0  0  0  X  0  0  X  0  X  X  0  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  0  0  0  0  X  0  0  0  0  X  X  X  X  0  X  0  X  X  X  0  0  0  X  X  0  X  X  0  X  X  0  X  X  0  0  X  X  0  0  0  X  0  X  X  0  0  0  0  X  X  0  0  X  X  X  X  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  X  0  X  0  0  0  X
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  X  0  0  X  0  X  X  X  X  0  X  X  X  0  0  X  X  X  0  0  0  0  0  0  X  0  0  0  0  0  X  0  X  X  0  0  0  X  X  0  0  X  X  0  X  X  X  X  X  X  0  0  0  X  X  X  0  0  X  X  X  X  0  0  0  X  0  X  X  0  0  0

generates a code of length 89 over Z2[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+47x^74+94x^75+194x^76+276x^77+338x^78+384x^79+455x^80+536x^81+641x^82+658x^83+783x^84+784x^85+787x^86+910x^87+868x^88+870x^89+891x^90+920x^91+822x^92+862x^93+783x^94+684x^95+573x^96+532x^97+429x^98+330x^99+292x^100+188x^101+131x^102+102x^103+80x^104+46x^105+38x^106+14x^107+19x^108+2x^109+7x^110+7x^112+2x^114+1x^116+2x^118+1x^140

The gray image is a linear code over GF(2) with n=178, k=14 and d=74.
This code was found by Heurico 1.16 in 62 seconds.