The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+61x^86+154x^87+367x^88+426x^89+576x^90+520x^91+745x^92+532x^93+662x^94+534x^95+687x^96+482x^97+605x^98+344x^99+362x^100+282x^101+299x^102+202x^103+125x^104+56x^105+80x^106+28x^107+11x^108+10x^109+18x^110+6x^111+4x^112+4x^113+3x^114+4x^115+2x^116

The gray image is a linear code over GF(2) with n=380, k=13 and d=172.
This code was found by Heurico 1.16 in 6.08 seconds.