The generator matrix

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

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+232x^86+192x^87+603x^88+400x^89+757x^90+536x^91+838x^92+560x^93+727x^94+440x^95+584x^96+360x^97+498x^98+272x^99+381x^100+160x^101+261x^102+88x^103+123x^104+56x^105+76x^106+8x^107+25x^108+8x^110+4x^112+1x^114+1x^120

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 24.6 seconds.