The generator matrix

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

generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+168x^84+364x^86+617x^88+608x^90+828x^92+774x^94+863x^96+780x^98+834x^100+714x^102+584x^104+368x^106+269x^108+194x^110+149x^112+36x^114+28x^116+2x^118+9x^120+1x^124+1x^128

The gray image is a linear code over GF(2) with n=194, k=13 and d=84.
This code was found by Heurico 1.16 in 17.6 seconds.