The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+210x^86+224x^87+503x^88+528x^89+716x^90+600x^91+822x^92+532x^93+608x^94+572x^95+492x^96+444x^97+448x^98+324x^99+386x^100+188x^101+220x^102+116x^103+95x^104+36x^105+50x^106+20x^107+28x^108+18x^110+5x^112+2x^114+4x^116

The gray image is a linear code over GF(2) with n=376, k=13 and d=172.
This code was found by Heurico 1.16 in 5.63 seconds.