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 X^2+X  1  1  X  1  1  1 X^2+X  1  1 X^2+X  1  X  0  0 X^2+X  1  1 X^2  1  X  1  1  1  1  1  0 X^2+X  1 X^2+X X^2  1 X^2+X  1  X  X X^2+X  1  0 X^2  1 X^2+X  1 X^2+X  1  0 X^2  1  0  1  1  0 X^2  0  1 X^2  0  1 X^2  1 X^2+X  0  1  1 X^2+X X^2+X  1
 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^2+X X^2+X+1 X^2+1  1 X^2+X+1  X X^2  1 X^2 X^2+1  1 X^2  1 X^2+X  1 X^2 X^2+X+1 X^2+1 X^2  0  1 X^2+1 X^2+1  X  X X^2+1  1 X^2+X X^2+X  1  1 X^2+X+1  1  0  0  1  1  1  1 X^2+X X^2+X  1  0 X^2+X  1  1 X^2+X  1  1  X  0  1  1  1 X^2  X X^2+X  0  1 X^2+1  1  1  X X^2+X  1  1 X^2+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  1 X^2+X  1 X^2+X X+1  X X^2+X  1 X^2+1 X^2+X  0 X+1 X^2+X  1 X^2+X+1  1 X^2  1  1 X^2 X^2  0  1  X X+1 X+1  1  1  X X^2 X^2+X+1 X^2+X+1  1  1  1  1 X^2  0 X+1  1  1  X  X  1 X+1  0  1  0 X^2  X  1  X  1 X+1  1  1  1  1 X^2+X+1 X+1 X^2 X^2+1 X+1 X^2+X+1  0  0 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^2  X X^2+X  0  X  0 X^2  X  0  0 X^2+X  0  X X^2+X  X X^2+X X^2 X^2 X^2+X X^2+X  X X^2 X^2  X X^2 X^2 X^2+X X^2+X  0 X^2  X X^2 X^2+X X^2 X^2+X  0 X^2 X^2 X^2+X  0  X X^2+X  0 X^2 X^2  X  X X^2+X  X X^2+X  X  X X^2+X X^2+X X^2+X X^2 X^2+X  X  0  X X^2+X X^2  0  0 X^2+X  0 X^2+X
 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 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  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 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2  0  0  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0 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+208x^87+272x^88+540x^89+406x^90+768x^91+546x^92+850x^93+478x^94+796x^95+369x^96+612x^97+367x^98+522x^99+260x^100+416x^101+191x^102+214x^103+82x^104+128x^105+53x^106+42x^107+28x^108+14x^109+3x^110+6x^111+6x^112+6x^114+4x^115+2x^116+2x^120

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 24.9 seconds.