The generator matrix

 1  0  0  0  0  0  1  1  1  X  0  0  0  0  1  1  1  0  X  1  1  X  1  0  1  1  1  0  X  X  1  X  0  X  1  0  X  X  1  1  0  1  1  1  1  1  1  1  1  0  0  1  1  1  0  0  0  1  1  1  X  1  1  1  0  1  1  0  1  X  X  0  X  1  0  X  0  1  1  1  1  1  1  X  1  X  0  0  1  X  1  1  X  1  X  0  1
 0  1  0  0  0  0  0  0  0  0  1  X  1  1  0  X  1  X  0  1  0  1 X+1  1 X+1  1  1  X  1  1  X  1  0  1 X+1  0  1  X  0  X  1 X+1  1 X+1  X  0 X+1 X+1 X+1  0  1  1  X X+1  1  1  0 X+1  X X+1  1  1  1  0  1 X+1  0  1  0  1  1  0  1  X  X  1  1  X  1 X+1  X  0  X  1  1  X  X  1 X+1  X  0  X  0  0  X  X  X
 0  0  1  0  0  0  0  0  0  0  X  1  1 X+1 X+1 X+1  X  1  1 X+1 X+1  0 X+1  1  1  0 X+1  1  X  0 X+1  1  1 X+1  X  X X+1  0 X+1  X  X  0  X  X X+1  0  1 X+1  0  X  0  X  X  X X+1  1  X  X  X X+1  1  X X+1 X+1  X  1  1  X X+1  0 X+1  X  X  1  X  1  X  0  0 X+1  0  1 X+1 X+1 X+1  X  X  1  1  1 X+1  0  1  0  1  0 X+1
 0  0  0  1  0  0  0  1  1  1 X+1 X+1  1  X  0 X+1  0  1  X X+1 X+1 X+1  0  X X+1  1  X  0 X+1  X  1 X+1  X  0 X+1  0 X+1  1  X  0  1  X  1  0  1 X+1  0  1  X  1  0  X X+1  X  X  X  X X+1  X  0  0  X  1 X+1  X X+1  1 X+1  X  0  1  0  1  X  1  0  1  0  0  1  0  1 X+1  X  1  X  0  0  0  0 X+1  1  0 X+1  1  1  X
 0  0  0  0  1  0  1  1  X X+1  1  1  1  0 X+1  0  1  0  1  0  1  X X+1 X+1 X+1 X+1  X X+1 X+1 X+1  X  0  0  X  X  X  0 X+1  1 X+1  0  0 X+1  1 X+1  0  X X+1  X  X  X  X  1  1 X+1  0  1  0 X+1  1  1  0  0  0  X  0  1 X+1 X+1  X X+1  1 X+1  1  0 X+1  X  1 X+1  0  0  X  1 X+1 X+1  X  0 X+1  1  0  1  0  1 X+1  0  X X+1
 0  0  0  0  0  1  1  X X+1  1  0  X  1 X+1  0  X  X X+1  1 X+1  1  1 X+1  X  X X+1  0  1  X  1  X  X  X  1  0  1  X  1  X X+1  1  0  X  1  0  X X+1 X+1  X X+1  1  1  1 X+1 X+1  0 X+1  1  0  0  X  1 X+1 X+1  1  0  0  1  X  X  X  X X+1  1  X  1  X  X X+1  0  0  1 X+1  X  1  1  1  X  1  1  1  X  X X+1  X X+1  0
 0  0  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  0  0  X  X  0  X  0  X  0  0  X  X  X  0  X  X  X  0  X  0  X  0  0  X  X  X  0  X  0  0  0  0  0  X  X  X  0  X  0  X  X  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  X  X  X  0  X  0  0  0  0  X  0  0  0  0  0  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+54x^84+144x^85+192x^86+278x^87+277x^88+336x^89+368x^90+388x^91+401x^92+378x^93+395x^94+418x^95+432x^96+360x^97+403x^98+368x^99+385x^100+380x^101+349x^102+352x^103+282x^104+224x^105+229x^106+202x^107+160x^108+126x^109+76x^110+84x^111+42x^112+32x^113+36x^114+18x^115+12x^116+4x^117+4x^119+2x^120

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 16.2 seconds.