The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  X  1  1  1  1  1  1  1  1  X  X  1  1  1  X  1  1  X  1  1  1  1  X  1  X  0  1  1  1  1  X  X  X  1  X  1  1  1  X  1  X  X  1  1  X  1  1  X
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  X  0  X  X  0  0  X  0  0  X  X  0  X  X  X  X  0  0  X  X  0  X  X  X  X  X  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  0  0  X  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  X  0  0  X  X  X
 0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  X  0  X  0  0  X  X  X  0  0  0  0  0  X  X  X  X  0  0  X  X  0  0  0  X  X  0  0  X  X  0  X  0  X  0  X  X  0  0  0  X  0  X  0  X  0  0  X  0  0  X  X  0  X  0  0  X  0  X  X
 0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  0  0  X  X  X  X  X  X  0  X  0  X  X  0  X  0  0  0  0  0  0  X  0  0  0  X  0  X  0  X  X  0  0  X  X  0  X  0  0  0  X  X  0  0  0  0  0  0  0  0  X  0  X  0  0  X  X  X  X  0  X  0  X  X  0  0  X  0  0  0  X  0  X  X  X
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  0  X  0  0  X  0  X  0  0  0  0  0  X  X  0  0  X  0  0  0  X  X  X  X  X  0  X  X  0  X  0  X  X  0  X  X  X  0  0  X  X  X  0  X  X  0  X  X  X  0  0  0  0  0  X  0  X  0  0  X  X  0  X  0  X  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  X  0  0  0  X  0  0  0  X  X  0  X  X  0  X  X  X  X  0  X  0  X  0  X  0  0  X  X  0  0  X  0  X  X  X  X  0  0  X  0  0  0  0  0  0  0  0  0  X  X  0  X  X  0  X  0  X  X  X  X  0  X  0  X  0  0  0  X  X  0  X  0  0  X  0
 0  0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  0  X  0  0  X  X  0  X  X  X  0  X  X  X  0  0  0  0  X  X  0  X  0  X  0  0  X  X  X  0  0  0  0  X  X  0  0  X  0  X  0  X  0  X  0  X  X  X  X  0  X  0  0  0  X  0  X  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  0  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  0  0  X  0  X  X  X  0  X  0  X  X  X  0  X  X  0  X  0  0  X  0  X  X  0  0  0  0  X  X  X  0  0  X  X  0  X  0  0  X  0  X  0  X  0  X  0  0  X  X  0  X  0  0  X  X  X  X  X  0  X  X  0  X  0  X  X  X  0  0  X  0  0  0  X  0  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  X  0  0  0  0  X  X  0  0  X  X  0  X  0  X  0  0  X  0  0  X  X  X  0  0  X  X  0  0  0  X  X  X  0  X  0  0  0  X  X  0  0  X  X  X  X  0  0  0  X  X  X  X  0  0  X  0  0  0  X  X  X  X  0  X  0  0  0  X  X  0  X  X  X  0  X  X  X  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  X  X  0  X  X  X  X  0  X  0  X  X  X  0  X  0  X  0  X  0  0  X  X  0  X  X  X  X  0  X  X  X  X  0  0  X  X  0  0  X  X  X  X  X  X  X  0  X  0  0  0  X  0  X  X  X  0  X  X  0  0  X  X  X  X  X  X  0  X  0  X  0  0  X  X  0  0  X  X

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+95x^84+4x^86+218x^88+54x^90+274x^92+160x^94+311x^96+174x^98+258x^100+92x^102+166x^104+26x^106+106x^108+64x^112+2x^114+31x^116+8x^120+3x^124+1x^156

The gray image is a linear code over GF(2) with n=194, k=11 and d=84.
This code was found by Heurico 1.16 in 1.8 seconds.