The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1 X^2  1 X^2  1  X  1  1 X^2+X  1  1 X^2+X  1 X^2  1  1 X^2+X  1  1  1  0  1  1  1  1  1 X^2+X  X  1  1  1 X^2  1  X  1  1 X^2  1  1  1 X^2+X  1  1  1 X^2  1  0  1  1  0  1  1  1 X^2+X  1 X^2+X  1  1  1 X^2  1  0 X^2  1  1  1  1 X^2+X X^2+X  1  X X^2 X^2  1 X^2  1  1  1 X^2  X X^2+X  1
 0  1  1  0 X^2+X+1  1  X X^2+X+1  1 X^2+1  1  0  1 X^2+X  1  1  1 X^2+X  1 X^2+X X+1  1  X X^2+X+1  1 X^2  1 X^2+X+1 X+1  1 X^2+X X^2+1 X^2+X  1  1  1 X^2+X+1 X^2 X^2  1  1  X  0  1  1 X^2+X  1  1 X^2  1 X^2 X^2 X^2+1  1 X^2+X+1 X^2+X+1  X  1 X^2+X  1 X^2+X  1  1  0 X^2+1  X  1 X^2  1 X^2+X X^2+1 X^2  1 X^2  1  1  1 X+1 X^2 X+1  1  1  X  1  1  1 X+1  1  1 X+1 X^2+1  1  X  1 X+1
 0  0  X  0 X^2+X  0  0 X^2 X^2  0 X^2  X  0  X X^2+X X^2+X X^2+X X^2+X X^2+X  0  0 X^2 X^2+X X^2+X  X  X  0 X^2  0 X^2+X X^2  0 X^2 X^2  X  X X^2+X  X  0 X^2 X^2+X X^2 X^2 X^2  X  X X^2+X X^2+X X^2+X  X X^2  X X^2 X^2  0 X^2+X  0  X X^2  0 X^2+X X^2 X^2  0 X^2+X  X X^2  0 X^2 X^2+X X^2  X  0  X  X  0 X^2  0  X X^2+X X^2  X  0 X^2 X^2  X X^2+X X^2+X X^2  X  0 X^2+X X^2+X X^2+X X^2+X
 0  0  0  X  0  0  X X^2+X X^2+X X^2  X  X X^2+X X^2+X X^2 X^2+X  X X^2 X^2  0 X^2 X^2 X^2  X X^2+X  0  X X^2+X  0  0  0  0  0  0  0  X X^2  0 X^2+X X^2+X X^2+X  X  0 X^2+X  0 X^2 X^2  0 X^2+X  X X^2 X^2 X^2  X  X  X  X X^2  X  0  X X^2  X X^2+X X^2+X  X X^2+X  0  X  0 X^2+X X^2+X X^2+X  X  X  0 X^2+X X^2  0 X^2 X^2+X  X  X X^2  X X^2+X X^2+X  X  0 X^2 X^2+X  X X^2 X^2 X^2+X
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 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  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2  0  0
 0  0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 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 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2  0  0 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  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  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 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+174x^86+84x^87+385x^88+300x^89+697x^90+392x^91+681x^92+484x^93+857x^94+560x^95+571x^96+476x^97+655x^98+408x^99+487x^100+268x^101+329x^102+92x^103+103x^104+8x^105+58x^106+44x^108+34x^110+29x^112+10x^114+2x^118+1x^120+2x^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 6.95 seconds.