The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+100x^79+201x^80+302x^81+369x^82+438x^83+501x^84+574x^85+620x^86+732x^87+818x^88+740x^89+840x^90+774x^91+811x^92+802x^93+853x^94+862x^95+803x^96+852x^97+706x^98+744x^99+566x^100+482x^101+479x^102+362x^103+301x^104+216x^105+188x^106+124x^107+78x^108+54x^109+36x^110+24x^111+16x^112+10x^113+4x^114+1x^138

The gray image is a linear code over GF(2) with n=186, k=14 and d=79.
This code was found by Heurico 1.10 in 18.3 seconds.