The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who�s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+72x^83+150x^84+154x^85+175x^86+220x^87+228x^88+228x^89+219x^90+222x^91+223x^92+220x^93+191x^94+216x^95+210x^96+130x^97+138x^98+156x^99+180x^100+138x^101+97x^102+84x^103+98x^104+112x^105+67x^106+46x^107+51x^108+32x^109+9x^110+8x^111+7x^112+10x^113+4x^116

The gray image is a linear code over GF(2) with n=188, k=12 and d=83.
This code was found by Heurico 1.16 in 3.74 seconds.