The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+37x^84+126x^85+189x^86+334x^87+368x^88+616x^89+367x^90+764x^91+416x^92+738x^93+429x^94+846x^95+405x^96+704x^97+339x^98+494x^99+272x^100+314x^101+93x^102+104x^103+69x^104+46x^105+39x^106+14x^107+23x^108+12x^109+12x^110+4x^111+8x^112+2x^113+2x^114+2x^117+1x^118+1x^122+1x^128

The gray image is a linear code over GF(2) with n=376, k=13 and d=168.
This code was found by Heurico 1.16 in 6.77 seconds.