The generator matrix

 1  0  0  0  1  1  1 X^2  1  1 X^2  1  0  1  X  1  1  1  X  X  0  1  X  1  1  0  1  1 X^2+X X^2+X X^2 X^2 X^2  1 X^2+X  0  1  1  1 X^2+X  X  1  0  1  1  1  1  1 X^2+X  X  1 X^2+X X^2+X X^2  1 X^2  1  1  1  1  1  1  0  1  0  1  0  0  1  1  1  1  X  X X^2 X^2  1  1 X^2+X  X  0  1  1  1  1 X^2+X  1  1  X  1  1  1  1  X  1
 0  1  0  0  X  X X^2+X  0  1 X^2+1  1  1  1 X^2+X+1  1 X^2+X X^2 X^2  1  1 X^2+X  1 X^2+X X^2+X X+1  1  1 X+1  0  1  X  1  1  0  X  1 X^2 X^2+X X+1  1  1  X  1 X^2+X X+1 X^2+X+1 X^2+X+1 X^2+1  1  1 X^2+X+1  1  1 X^2  0 X^2+X X^2+X+1 X+1  1 X^2+1  X X^2+X  1 X^2  1 X^2+X X^2  0 X^2+1 X+1 X^2+1  0  1  X  1 X^2+X  X X^2+X  1  1  1 X+1 X^2+1 X^2+X X+1  X  X X^2+X  0  0  0 X^2+1 X^2+1 X^2  X
 0  0  1  0  X X^2+X+1 X^2+X+1  1 X+1 X+1 X^2  0 X+1  X  1  X X+1 X^2+X+1  X X^2+X  1  1  1 X^2  0 X^2+X+1  X  1  0 X^2+1  1 X^2+X  X X^2  0  1 X+1 X^2+X+1 X+1 X^2+1 X+1  0 X^2+X  0 X^2  0 X^2+1  1 X^2 X+1 X^2+X+1 X^2+X+1  X X^2+X X^2+X  1 X+1  X X^2 X^2+X X^2+X  1 X^2  0  1 X^2+1  1  0  0 X^2+1  X X^2+X+1 X^2+1 X^2  X  X X+1 X^2+X+1 X^2+1  0  X X+1  1  0 X^2  1 X^2  X  1  X X+1  0 X^2  X X^2+X
 0  0  0  1 X+1 X^2+X+1  X  1  X X^2+X+1 X^2+X+1 X^2+X X^2+X  1  1 X^2+X X^2+1 X^2 X^2+X+1 X^2  0 X^2+X+1 X^2+1 X^2+X+1 X^2 X^2+1 X+1  X  1 X^2 X^2+X X^2  1 X+1  1  1 X+1 X^2 X^2+X+1  0 X^2+1 X^2+1 X^2+X+1  0 X^2+X+1  X X^2  1 X^2+X  0 X^2+X  1  1  1 X+1 X^2+X+1  0  X X+1  1 X^2 X^2+1 X^2 X^2 X+1 X^2+X  0  1  0 X^2 X^2+X  0  X  1  X  1 X^2+1 X^2+1  X X+1  1 X^2+1 X+1  1  1  X X^2+X  0 X^2+X X^2 X^2+X+1 X^2+1  0  1 X+1
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 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+116x^87+326x^88+438x^89+699x^90+578x^91+774x^92+596x^93+745x^94+500x^95+620x^96+378x^97+514x^98+368x^99+347x^100+298x^101+293x^102+142x^103+173x^104+98x^105+63x^106+50x^107+31x^108+14x^109+21x^110+6x^111+2x^113+1x^118

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 5.47 seconds.