The generator matrix

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

generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+86x^76+218x^78+191x^80+130x^82+108x^84+48x^86+74x^88+36x^90+46x^92+30x^94+24x^96+12x^98+12x^100+4x^102+2x^104+2x^106

The gray image is a linear code over GF(2) with n=166, k=10 and d=76.
This code was found by Heurico 1.16 in 0.271 seconds.