The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+240x^82+500x^84+700x^86+749x^88+806x^90+854x^92+810x^94+797x^96+711x^98+620x^100+481x^102+411x^104+277x^106+146x^108+64x^110+16x^112+5x^114+1x^118+2x^120+1x^122

The gray image is a linear code over GF(2) with n=188, k=13 and d=82.
This code was found by Heurico 1.16 in 72.9 seconds.