The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 X 1 1 1 1 1 0 1 1 0 1 0 0 1 1 X 1 X 1 1 X 0 X 1 1 0 0 0 1 1 X X 1 1 X 1 1 X 0 0 X X 0 1 1 0 X 0 1 1 1 1 1 0 1 1 1 1 0 X X 0 1 1 1 1 1 1 X 1 0 1 1 1
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X X+1 X 1 1 1 0 1 X+1 X+1 0 X+1 X+1 1 1 1 1 X 0 1 X+1 1 X 0 0 1 X 0 1 X X 1 0 X+1 X 1 1 1 0 1 X+1 1 1 0 1 0 0 0 X 1 X 1 0 0 X X+1 X 1 X 0 0 X 1 X 1 X 0 0 1 0 X X+1 1 1 1 X+1 0 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 1 1 X 1 X+1 0 X X 1 0 1 1 0 X 0 X+1 X 1 X 1 0 X 1 0 1 0 1 0 1 0 X 1 0 X+1 X X 1 X 1 X+1 1 1 1 1 1 X X+1 1 1 0 X+1 X+1 1 0 X X X+1 0 1 X+1 0 1 1 1 X+1 X+1 0 X 1 0 X X 0 1 X+1 0
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X X+1 0 1 X 0 X 1 X 1 X+1 X 0 X+1 X+1 X+1 1 0 X X+1 0 1 X+1 1 0 1 1 X X X+1 X 1 0 0 X 1 0 1 X+1 X+1 1 1 0 1 1 X 0 0 1 0 X+1 X+1 0 X X+1 0 X+1 0 X 1 X X X+1 X+1 X X+1 X+1 1 1 0 X X+1 0 X 0 X+1 1 1 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 X 1 X X+1 1 0 X+1 X+1 0 X+1 X+1 X 0 X 1 X 0 0 1 1 X X+1 0 0 X+1 X+1 X+1 0 X 1 1 X+1 X+1 1 X+1 1 1 X+1 X 0 1 0 1 1 X 0 X+1 X+1 0 X X 1 0 0 0 0 X 0 1 1 X X+1 X 1 0 X+1 X 1 X 1 1 X+1 X X+1 X+1 0 X 0
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X 0 X+1 X+1 0 X+1 0 1 X 0 1 X+1 X+1 X+1 X X+1 1 0 X+1 0 0 X 1 1 0 0 X X 1 X X+1 1 X X 0 X+1 X+1 X 0 0 X+1 1 0 0 1 0 1 X+1 X+1 0 0 1 X+1 X X 1 0 X+1 X X X+1 X+1 X X+1 0 0 0 X 0 1 0 0 X+1 X X+1 1 1 X 1
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 X X X X X 0 X 0 X 0 X X 0 X X 0 X 0 X X X X 0 0 X X 0 0 0 X X X 0 X 0 X X X 0 0 X X X X X X X 0 X X 0 X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 X X 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+50x^80+104x^81+225x^82+260x^83+263x^84+312x^85+363x^86+388x^87+349x^88+442x^89+442x^90+426x^91+396x^92+398x^93+424x^94+430x^95+374x^96+358x^97+375x^98+318x^99+277x^100+246x^101+232x^102+150x^103+152x^104+136x^105+100x^106+60x^107+54x^108+44x^109+12x^110+16x^111+1x^112+8x^113+2x^114+2x^116+1x^118+1x^120

The gray image is a linear code over GF(2) with n=186, k=13 and d=80.
This code was found by Heurico 1.10 in 4.72 seconds.