The generator matrix

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

generates a code of length 94 over Z2[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+40x^81+103x^82+212x^83+246x^84+292x^85+346x^86+378x^87+395x^88+390x^89+381x^90+448x^91+435x^92+374x^93+451x^94+348x^95+385x^96+386x^97+348x^98+374x^99+312x^100+274x^101+251x^102+258x^103+204x^104+160x^105+124x^106+72x^107+57x^108+52x^109+44x^110+16x^111+11x^112+16x^113+6x^115+1x^116+1x^124

The gray image is a linear code over GF(2) with n=188, k=13 and d=81.
This code was found by an older version of Heurico in 0 seconds.