The generator matrix

 1  0  0  0  1  1  1  0  1 X^2  1  1  X  0  1  0  1  1 X^2+X X^2+X X^2  0  1  1  1  1  1  X  0  X  1  1  1 X^2+X X^2  1  X  X  X  1  1  1  X  0  1  1  1  1 X^2  1  1  1  0  X  1  1  1  1  1  1  0  1 X^2+X X^2  1  1  X X^2+X  1  1  1  1  X X^2+X  1 X^2+X X^2 X^2  1  1  1 X^2+X X^2+X  1 X^2+X  1 X^2  0  0  1  1  1  1  1
 0  1  0  0  1 X^2  1  1 X^2+1  1 X^2 X^2  1  X X+1  1  1 X^2+X  1 X^2  1 X^2  0 X^2+X  X X^2+1 X^2+1  X  1  1  1 X+1  X  1  0 X^2+X+1  1  0  1  0 X^2+1  X  1  X  X  1  0  0  1 X^2+1 X^2+X X^2+X+1  1  X X^2 X^2+X+1 X^2+X+1 X^2+X X+1 X^2+1  1  0 X^2  1  1  1  0  1 X^2+X X^2+X X^2 X^2+X+1 X^2+X X^2  0  0  1  1 X+1 X+1 X^2+X  1  1  X X^2+X X^2+1  1  1  0 X^2 X+1 X+1 X^2+X  0
 0  0  1  0  X  0 X^2+X  X  1  1 X^2+X+1  1  1  1 X^2+1 X^2+X X^2  0  0  1 X^2+1 X^2+X X^2 X^2+1 X+1 X+1 X^2  1 X^2+1  X X^2+X+1 X^2  X X^2+X+1  1  0 X^2+X+1 X^2+X X^2+1  1 X^2+1 X+1  X  1  0 X^2+X+1 X^2+X+1 X^2 X^2+X+1 X^2+X  0 X^2+1 X+1  1 X^2+X X^2+X+1  0 X^2+1 X^2+X X^2 X^2+X+1  1  1 X+1  1 X^2+1  1  X X^2+X+1  X  1 X^2  1  1 X+1  1 X^2+X  X  0  1 X+1 X+1 X^2+X+1  X  1 X^2 X^2+X X^2+X+1 X^2+X X^2+X  1 X^2+X  0  0
 0  0  0  1  X  1 X+1 X+1 X+1 X^2+X+1 X^2 X^2+1 X^2+X X^2+X+1  0 X^2+X X^2+1 X^2  1  X X^2+1  1 X^2+X+1  1  X X^2+X+1  X X^2+X+1 X^2  0 X^2 X^2 X^2+1  X X^2+X X+1 X^2+X+1  1  0 X^2+X+1 X^2  0 X+1 X^2+1 X^2+1  X  1 X^2+X X^2  0 X^2+X+1 X^2+1 X+1  0  0 X^2+X X+1  X X^2 X^2+X  1 X^2+1 X^2+1  1 X^2+X X^2+1 X^2+X+1  0 X^2+X+1 X+1 X^2+X  1 X^2+1  0 X^2+X+1 X^2+X X^2 X^2  X X^2+1  X X+1  0 X^2+1 X^2+X+1 X^2  X X^2  1 X^2 X+1  1 X+1  1
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 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 86.

Homogenous weight enumerator: w(x)=1x^0+99x^86+392x^87+416x^88+690x^89+571x^90+706x^91+593x^92+718x^93+540x^94+654x^95+467x^96+460x^97+328x^98+398x^99+242x^100+312x^101+165x^102+158x^103+96x^104+90x^105+47x^106+24x^107+7x^108+2x^109+8x^110+4x^111+2x^114+2x^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 1.11 in 1.86 seconds.