The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  0  0  X  X  X  1  1  0  X  X X^2  1  X  X  1  0  1  0  X  X  1  X  0  1  X  1  1  0 X^2  0  1 X^2  X X^2  1  X  X  1  1  1 X^2 X^2  X  1
 0  X  0  0  0  0  0  0  0  0 X^2  X  X X^2+X  0 X^2+X X^2+X  0 X^2  X X^2+X  X  X X^2  X X^2  X  0  X X^2+X X^2  X X^2+X  0 X^2  0 X^2 X^2  0  X X^2+X X^2+X X^2+X  X  0  X  0  X  X  X  X  X X^2+X  X  0  X  0  X X^2+X  0  X X^2+X X^2  X X^2  X  0 X^2 X^2+X  X X^2+X X^2+X  0 X^2+X  X  X  X  0  X  X X^2  X X^2  X  0 X^2 X^2+X  0  0 X^2 X^2 X^2 X^2 X^2
 0  0  X  0  0  0  0  0  0  0 X^2+X X^2  X  X  X  X  0  X  X  0 X^2+X X^2+X  0 X^2  X  X X^2+X X^2+X X^2 X^2+X  0  0 X^2  X  0 X^2+X  X X^2 X^2+X  X X^2  X X^2  0  X  0 X^2  0  X  X  X  0  X X^2+X X^2 X^2 X^2  0  0 X^2+X  X X^2+X X^2 X^2 X^2+X  X  0  X X^2  0  0  X  X  X X^2 X^2+X X^2  X X^2+X X^2  0  X X^2+X  0 X^2+X X^2+X  0 X^2 X^2 X^2+X  0 X^2  X  0
 0  0  0  X  0  0  0  X X^2+X  X  X X^2+X  0  X X^2  0 X^2+X X^2+X X^2 X^2+X X^2+X X^2  0  X  0 X^2  X  X  X  X X^2  0 X^2  X X^2 X^2  X X^2  X X^2 X^2  X X^2+X  0  0  X X^2+X X^2+X X^2+X X^2 X^2 X^2+X X^2+X  X X^2+X  X X^2+X  X  X X^2  X  0  0 X^2  X X^2+X X^2  X  X  0 X^2+X  0  X  X X^2 X^2+X X^2  0 X^2+X  0 X^2+X  0  0 X^2+X  X  X  X  X X^2 X^2 X^2  X  X X^2
 0  0  0  0  X  0  X  X  X X^2  X  X  X X^2 X^2 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2 X^2+X  X X^2  X  0 X^2+X X^2 X^2+X X^2+X  X  X  X X^2+X  X X^2  0 X^2  X X^2 X^2  X  0  0 X^2 X^2+X X^2+X X^2 X^2 X^2  X X^2+X X^2+X X^2  0  0 X^2 X^2+X X^2+X  X X^2 X^2+X  X  0  0  X X^2+X  0  X  X X^2+X X^2+X  X  X X^2+X  0  X X^2+X X^2  X X^2  0  X X^2  X  0  0 X^2  0  X  0 X^2+X X^2
 0  0  0  0  0  X  X X^2 X^2+X X^2+X  X  X X^2+X  0  X X^2 X^2 X^2  X X^2+X  0  0 X^2 X^2  X  0  X X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X X^2 X^2+X X^2 X^2  X X^2+X X^2+X  0 X^2+X  X  0 X^2+X  X X^2+X  X  0 X^2+X  0 X^2+X  0 X^2+X  0  0 X^2  0 X^2+X  0  0 X^2  X X^2+X  0 X^2+X  0 X^2 X^2+X X^2  0 X^2+X X^2 X^2  0 X^2 X^2 X^2+X X^2 X^2 X^2+X  X  X X^2+X  0  X X^2+X X^2  X  X  X X^2 X^2+X
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+52x^81+119x^82+198x^83+291x^84+360x^85+426x^86+586x^87+633x^88+778x^89+910x^90+988x^91+1116x^92+1190x^93+1263x^94+1150x^95+1171x^96+1046x^97+885x^98+768x^99+619x^100+450x^101+310x^102+296x^103+177x^104+156x^105+154x^106+78x^107+68x^108+56x^109+25x^110+24x^111+17x^112+8x^113+4x^114+8x^115+2x^116+1x^128

The gray image is a linear code over GF(2) with n=376, k=14 and d=162.
This code was found by Heurico 1.16 in 33.8 seconds.