The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+200x^87+308x^88+516x^89+537x^90+622x^91+504x^92+810x^93+579x^94+668x^95+491x^96+622x^97+433x^98+438x^99+289x^100+370x^101+239x^102+170x^103+125x^104+102x^105+49x^106+56x^107+8x^108+20x^109+12x^110+4x^111+1x^112+8x^113+7x^114+1x^116+2x^119

The gray image is a linear code over GF(2) with n=380, k=13 and d=174.
This code was found by Heurico 1.16 in 23 seconds.