The generator matrix

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

generates a code of length 93 over Z2[X]/(X^2) who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+48x^77+143x^78+316x^79+388x^80+540x^81+673x^82+770x^83+1009x^84+1068x^85+1231x^86+1228x^87+1418x^88+1576x^89+1589x^90+1778x^91+1704x^92+1748x^93+1749x^94+1738x^95+1689x^96+1584x^97+1543x^98+1368x^99+1216x^100+1044x^101+841x^102+722x^103+561x^104+462x^105+339x^106+220x^107+176x^108+114x^109+74x^110+52x^111+22x^112+6x^113+8x^114+7x^116+2x^117+1x^118+1x^134+1x^136

The gray image is a linear code over GF(2) with n=186, k=15 and d=77.
This code was found by Heurico 1.11 in 88.2 seconds.