The generator matrix

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

generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+66x^85+131x^86+212x^87+261x^88+370x^89+535x^90+558x^91+529x^92+554x^93+687x^94+594x^95+568x^96+644x^97+611x^98+502x^99+340x^100+322x^101+256x^102+144x^103+72x^104+74x^105+45x^106+26x^107+9x^108+14x^109+24x^110+10x^111+9x^112+9x^114+2x^115+2x^116+4x^117+5x^118+1x^120+1x^126

The gray image is a linear code over GF(2) with n=380, k=13 and d=170.
This code was found by Heurico 1.16 in 7.33 seconds.