The generator matrix

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

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+26x^77+68x^78+56x^79+45x^80+48x^81+38x^82+42x^83+27x^84+22x^85+27x^86+18x^87+9x^88+22x^89+11x^90+6x^91+9x^92+8x^93+12x^94+6x^95+5x^96+2x^97+3x^98+1x^126

The gray image is a linear code over GF(2) with n=166, k=9 and d=77.
This code was found by Heurico 1.16 in 0.125 seconds.