The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+160x^84+344x^85+450x^86+488x^87+619x^88+708x^89+682x^90+696x^91+587x^92+580x^93+568x^94+416x^95+409x^96+404x^97+272x^98+248x^99+183x^100+132x^101+84x^102+72x^103+33x^104+8x^105+18x^106+9x^108+6x^110+14x^112+1x^116

The gray image is a linear code over GF(2) with n=368, k=13 and d=168.
This code was found by Heurico 1.16 in 5.71 seconds.