The generator matrix

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

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+60x^83+120x^84+188x^85+203x^86+218x^87+228x^88+210x^89+248x^90+234x^91+163x^92+198x^93+239x^94+174x^95+167x^96+190x^97+189x^98+162x^99+149x^100+124x^101+138x^102+104x^103+87x^104+76x^105+51x^106+52x^107+28x^108+32x^109+16x^110+16x^111+17x^112+4x^113+4x^114+4x^115+2x^117

The gray image is a linear code over GF(2) with n=188, k=12 and d=83.
This code was found by Heurico 1.10 in 1.25 seconds.