The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+184x^86+268x^87+573x^88+464x^89+728x^90+564x^91+706x^92+556x^93+636x^94+576x^95+573x^96+480x^97+446x^98+360x^99+317x^100+176x^101+182x^102+84x^103+166x^104+48x^105+42x^106+4x^107+23x^108+4x^109+16x^110+7x^112+4x^114+2x^116+2x^118

The gray image is a linear code over GF(2) with n=376, k=13 and d=172.
This code was found by Heurico 1.16 in 5.86 seconds.