The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+426x^84+652x^85+1400x^86+1588x^87+2577x^88+2536x^89+3720x^90+3212x^91+4645x^92+4084x^93+5724x^94+4544x^95+5739x^96+4104x^97+4742x^98+3444x^99+3676x^100+2416x^101+2362x^102+1276x^103+1174x^104+568x^105+428x^106+200x^107+171x^108+40x^109+48x^110+8x^111+20x^112+6x^114+2x^116+2x^118+1x^136

The gray image is a linear code over GF(2) with n=380, k=16 and d=168.
This code was found by Heurico 1.13 in 824 seconds.