The generator matrix

 1  0  0  0  1  1  1  0  1 X^2  1  1  X  0  1  0  1  X X^2  1 X^2+X  1  1  1  1 X^2+X  1  1 X^2+X  X X^2  1 X^2  1  0  X  1  1  X  1  X  1  1  0  1  X  1 X^2+X X^2+X  1 X^2+X  1 X^2  1  1  0 X^2+X  1  1  0  1 X^2  1  1  0  0  0 X^2+X  1  1 X^2+X  1 X^2  1  1  1  1 X^2+X  1 X^2 X^2  X  0  0  X  1  1 X^2  X  X  X X^2+X  1  X  1
 0  1  0  0  1 X^2  1  1 X^2+1  1 X^2 X^2  1  X X+1  1  X  1  1 X^2+X  0 X+1  1 X^2+1  0  1 X^2+X  1  X  0  1 X^2+X+1  1  0  1 X^2  1 X^2+X+1 X^2+X X^2+1  1  0 X^2  X  X  X  0  1  1  X  1 X^2  1 X+1 X^2+1  1  1  1 X^2+X+1  X X^2+1  0 X^2+1 X^2+X  1  0  1  1 X^2+X+1  0  1 X^2+X+1  1 X+1  X X+1  1  1 X^2  1  1  1  X  1  1 X^2+X+1 X^2 X^2  1  1 X^2+X  X X^2+X  1  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+X X^2 X^2+X+1  1  1 X^2 X+1 X^2+1 X^2+1 X^2+1  0  X  1 X^2 X+1 X^2 X^2+X X^2+1  0  1  1  X  1 X^2+X+1 X+1 X+1 X^2+X  1  1  1 X^2 X^2+X X^2+1 X+1  0 X^2 X^2+X X^2 X^2  1 X^2+X X^2+X+1 X^2+X+1  0 X^2+X  1 X^2+1  0 X^2+X+1 X^2+X  1 X^2+X+1 X^2+1  X  0 X^2+X+1 X^2+X X^2  1  0 X^2  X  X  0 X+1 X^2  X X^2+X  X X^2+X X^2+X+1  1 X^2+X  X  1  X  0  0 X^2+1
 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  1 X^2+1 X^2+X+1  X  X X^2+X+1 X^2 X^2  0 X^2+1  1  1  1 X+1 X+1 X^2+1 X^2+X+1 X^2+X X^2  X  0 X^2+1  1 X^2 X^2+X X^2+X+1  1  0  0 X^2+X  X X+1 X^2+X X^2 X+1 X^2+X+1 X^2  X  0 X^2+1  0 X^2+X+1  1 X+1 X^2+1 X^2+1 X^2+X X^2+X  1  X  1  X X^2+X X^2+X X^2+X+1 X^2 X^2+X X^2+X X+1 X+1 X+1  0  0 X^2+X+1  X  1  1 X^2  1 X^2+X+1 X+1  0 X^2+X+1 X^2+1  1 X+1 X+1 X^2+X+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  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0  0  0 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 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+144x^87+350x^88+444x^89+635x^90+622x^91+729x^92+580x^93+651x^94+560x^95+567x^96+498x^97+506x^98+356x^99+402x^100+266x^101+261x^102+226x^103+125x^104+90x^105+81x^106+28x^107+27x^108+10x^109+10x^110+14x^111+7x^112+2x^115

The gray image is a linear code over GF(2) with n=380, k=13 and d=174.
This code was found by Heurico 1.11 in 1.89 seconds.