The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+81x^76+114x^77+334x^78+462x^79+643x^80+740x^81+1061x^82+1090x^83+1505x^84+1714x^85+1954x^86+2374x^87+2450x^88+2812x^89+2973x^90+3256x^91+3497x^92+3700x^93+3420x^94+3776x^95+3607x^96+3420x^97+3227x^98+3000x^99+2657x^100+2368x^101+2056x^102+1666x^103+1452x^104+1104x^105+892x^106+564x^107+478x^108+334x^109+270x^110+170x^111+113x^112+68x^113+57x^114+26x^115+22x^116+10x^117+6x^118+6x^120+4x^122+1x^130+1x^138

The gray image is a linear code over GF(2) with n=188, k=16 and d=76.
This code was found by Heurico 1.11 in 361 seconds.