The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+58x^80+116x^81+199x^82+264x^83+305x^84+348x^85+354x^86+356x^87+387x^88+384x^89+441x^90+430x^91+379x^92+410x^93+381x^94+426x^95+370x^96+350x^97+342x^98+328x^99+316x^100+280x^101+203x^102+164x^103+154x^104+124x^105+109x^106+66x^107+68x^108+34x^109+18x^110+14x^111+10x^112+2x^113+1x^122

The gray image is a linear code over GF(2) with n=186, k=13 and d=80.
This code was found by Heurico 1.16 in 15.2 seconds.