The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 X 1 1 1 1 1 0 1 1 0 1 1 1 1 0 X 0 X X 1 0 1 X 1 1 1 1 X 0 1 X X 1 0 1 1 0 X 1 1 X X 0 X 1 0 0 1 1 1 X 1 0 1 X 1 1 1 1 1 0 X X 1 1 X X 1 0 1 0 0 1 1 0 0 1 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X X+1 X 1 1 1 0 1 X+1 X+1 0 X+1 X+1 1 1 X X X+1 1 1 1 X 0 X 0 X 1 1 X+1 X+1 X 1 1 0 0 0 X+1 0 X 0 1 1 0 1 0 0 1 X X 1 X 0 X X X X 1 0 0 X+1 0 X+1 X+1 1 1 1 1 X 1 1 1 X+1 X 0 X 1 0 X+1 1 1 X+1 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 1 1 X 1 X+1 0 X X 1 0 1 1 0 X+1 1 X+1 0 X+1 X 1 1 0 1 1 X+1 0 X+1 X X X 1 1 1 1 0 1 0 X+1 0 X 0 X 1 1 1 X X+1 X+1 0 X 1 X+1 1 1 0 X+1 1 X 1 X+1 0 X+1 1 1 0 0 X+1 1 X X+1 1 1 X 0 X+1 1 X+1 0 X 0
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X X+1 0 1 X 0 X 1 X 1 X+1 X 0 X+1 X+1 X+1 X X X+1 0 0 1 0 0 0 1 1 X 0 0 X+1 0 X X+1 1 X X+1 1 1 X+1 1 0 X+1 X+1 X X+1 X 0 1 0 1 1 X 0 X X X 0 X 1 X X 0 X+1 X+1 1 X+1 X+1 X 0 1 X+1 X 0 1 1 X+1 1 0 0 X 1 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 X 1 X X+1 1 0 X+1 X+1 0 X+1 X+1 X 0 X 1 0 1 X+1 0 X X 0 X+1 0 0 1 X X 1 1 1 1 0 X 0 1 0 0 0 1 X+1 X+1 1 X+1 X+1 1 X+1 X+1 X+1 X X+1 X+1 X X+1 X+1 X+1 1 1 X 1 0 X+1 X 1 0 1 1 0 0 0 0 X X X+1 0 0 0 1 X X 1 1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X 0 X+1 X+1 0 X+1 0 1 X 0 1 X+1 X+1 X+1 X X+1 X+1 X 0 0 X+1 1 X+1 X 1 0 0 X 0 X 0 X 0 X+1 1 X 1 0 X 0 X+1 X+1 X+1 1 X 0 X+1 X X+1 0 1 0 0 X X+1 X X+1 X X+1 1 X+1 1 X 1 0 X+1 0 X X X+1 X+1 X X 1 1 0 1 X+1 X+1 0 X+1 0 1
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 X 0 X 0 X 0 0 X X X X X 0 X 0 0 0 X 0 0 0 X 0 X 0 0 0 X X X X 0 X X X 0 X 0 0 X X 0 0 X X X 0 X X 0 0 0 X 0 X X 0 X X 0 0 X X 0 X 0 0 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+84x^84+122x^85+191x^86+262x^87+280x^88+352x^89+343x^90+398x^91+408x^92+384x^93+383x^94+376x^95+401x^96+438x^97+440x^98+364x^99+373x^100+380x^101+350x^102+306x^103+283x^104+268x^105+202x^106+188x^107+147x^108+140x^109+106x^110+78x^111+61x^112+22x^113+27x^114+10x^115+8x^116+6x^117+6x^118+2x^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 1.10 in 4.99 seconds.