The generator matrix

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

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+98x^84+96x^85+284x^86+216x^87+404x^88+256x^89+366x^90+208x^91+387x^92+216x^93+340x^94+248x^95+317x^96+176x^97+190x^98+96x^99+94x^100+24x^101+26x^102+27x^104+4x^106+3x^108+6x^110+10x^112+1x^116+1x^120+1x^132

The gray image is a linear code over GF(2) with n=368, k=12 and d=168.
This code was found by Heurico 1.16 in 1.94 seconds.