The generator matrix

 1  0  1  1  1 X^2+X X^2  1  1  1  1  X  1  1  0  0  1  1  1 X^2+X  1  1  X  1  1  0  1  X  1  1  1 X^2+X  1  1 X^2  1  1 X^2+X  1  X  1  1  1  X  1  0  0  1  0 X^2  1 X^2  1  1  1  1  1  1  1  1  1  1 X^2  1  1  1  1 X^2+X  1  1  1  1  1 X^2  1 X^2  1  1 X^2+X  1  X  1  0  1  1 X^2  1  1  1  1  0  0  1  X  1
 0  1  1  0  1  1  1 X^2 X+1 X^2+1  X  1 X^2+X X^2+X+1  1  1  X  1  1  1  0 X+1  1 X^2+X X+1  1 X^2  1 X^2+X+1  0 X^2+X  1 X^2+1 X+1  1 X^2  X  1  1  1  0 X^2+X  1  1 X^2+X+1  1  1 X^2+X  1  1  0  1  1 X^2+1 X^2+1  0  X X^2+X+1  0  1 X^2+X+1 X^2  1 X^2  X X^2+1  X  1 X+1  0 X^2+X X^2+X+1 X^2+1  1 X^2  1  1  X  1  X  1  1  1  1  X  1 X^2+X X^2+X+1  1 X^2+1  1  0 X^2+X X^2+X  X
 0  0  X  0  0  0  0  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0 X^2 X^2  X X^2+X X^2+X X^2+X  X X^2+X X^2+X  X X^2+X  X  X X^2+X  X X^2+X  X  X  X X^2+X X^2+X  X X^2+X X^2  X  X  X  X X^2+X  X X^2+X X^2  0 X^2 X^2+X  0 X^2 X^2 X^2+X  0  X X^2 X^2 X^2+X  X X^2 X^2+X X^2+X  X  X X^2  X  0  0 X^2+X  X  0 X^2  X X^2+X  X X^2 X^2 X^2+X X^2+X  0  0 X^2+X X^2+X
 0  0  0  X  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2+X  X  X X^2+X X^2+X X^2+X  X X^2+X  X  X X^2+X X^2+X  0  0 X^2+X X^2+X X^2+X  0 X^2+X X^2 X^2+X X^2  0 X^2+X X^2+X X^2+X X^2+X X^2 X^2  0  X  X  X  0  0  0  0  0  X X^2  0  0 X^2+X X^2 X^2+X X^2  X  0  X  X X^2  0 X^2  X  X  X X^2 X^2+X  0 X^2  X X^2+X X^2+X  0  X X^2+X  X  X  0 X^2  0 X^2 X^2  0 X^2  0  0  X X^2 X^2 X^2+X
 0  0  0  0  X  0 X^2+X X^2+X X^2  0  X X^2+X X^2 X^2+X  X  0 X^2+X  0 X^2+X X^2 X^2+X X^2+X  X X^2 X^2 X^2 X^2+X  0  X  0 X^2+X  X  0  X  X  0 X^2+X X^2 X^2+X X^2+X X^2 X^2  X X^2 X^2 X^2  X X^2+X  0 X^2 X^2+X X^2+X  0  X X^2 X^2  0  0 X^2  X X^2+X  0 X^2 X^2  0 X^2  X X^2+X X^2+X  X X^2  X  0 X^2  X X^2  X  X  X  X  X X^2 X^2 X^2  0  X  X X^2  X X^2+X  0  0  0  0  0
 0  0  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  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+164x^86+108x^87+455x^88+268x^89+664x^90+352x^91+689x^92+552x^93+748x^94+524x^95+689x^96+492x^97+560x^98+424x^99+524x^100+272x^101+316x^102+64x^103+124x^104+16x^105+60x^106+52x^108+44x^110+17x^112+4x^114+6x^116+1x^120+1x^124+1x^128

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 6.94 seconds.