The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  1  1  X  0  1  1  X  1  1  1  1 X^2  1  1  X  1  1 X^2  1 X^2  1  1  1  1  1  X  1  X  1  X  1 X^2  1  1  1  1  1  X X^2  1  1  1  1  1  1  1  0  1  1  1 X^2+X X^2+X  1  1 X^2 X^2+X  1  1  X  1  1  0  1  1  1  X  X  1  0  1  1  1  X  1  1  1  X  1  1  1
 0  1  1  0 X^2+X+1  1 X+1 X^2+X  1 X^2 X^2+1  1  X X^2+X+1  1  1 X^2+X+1 X^2+X  1 X^2+1  X X^2+1  0  1 X^2+X X^2+1  1 X^2+X+1  0  1  1  1 X+1  0 X^2+1 X^2+X+1  X  1 X^2+X  1  1  1 X^2  1 X^2+X+1  0 X^2+X X^2+1 X^2+X  1  1  1 X+1  0 X^2+X X^2+1  X  X  1 X+1 X^2+X  0  1  1 X^2 X+1  1  1 X^2+1 X^2+X  1 X^2+1 X^2  1 X^2+X+1 X^2+1 X^2+X+1  1  0 X+1  1  1 X^2+1  X  1 X^2 X+1  X  1 X^2+X+1  0  0
 0  0  X  0 X^2+X  0 X^2 X^2  X X^2+X  0 X^2+X X^2+X X^2  0 X^2+X X^2+X X^2+X  X X^2  0 X^2+X  X X^2 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  0  0  X  X X^2  X  X X^2  0 X^2 X^2+X  X  X  X  X X^2  X X^2+X X^2  X  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2+X X^2+X  0  0  0  0  X  0 X^2+X  X X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X  X X^2+X  X X^2  0  0  0 X^2+X X^2+X  X
 0  0  0  X  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2+X X^2+X  X  X X^2+X  X X^2+X X^2+X X^2+X  X  X  0 X^2  X X^2  0  X  0 X^2+X  X X^2+X  X  X X^2 X^2 X^2+X X^2  0 X^2+X  0 X^2+X X^2+X  0 X^2+X  0  0 X^2  X X^2+X  0 X^2+X X^2+X  X  X X^2+X X^2 X^2+X  0 X^2+X X^2+X X^2  0  0 X^2  X  X X^2  0 X^2+X  X X^2+X X^2+X X^2 X^2+X X^2 X^2+X  X  X X^2 X^2 X^2+X X^2+X  0  0  X X^2+X  X X^2+X  X
 0  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0  0  0
 0  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0  0  0 X^2 X^2 X^2  0  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  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  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+56x^84+156x^85+216x^86+306x^87+357x^88+304x^89+291x^90+296x^91+304x^92+296x^93+296x^94+284x^95+233x^96+224x^97+173x^98+124x^99+52x^100+22x^101+36x^102+10x^103+16x^104+14x^105+8x^106+4x^107+6x^109+2x^110+4x^112+2x^113+1x^118+1x^120+1x^126

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 1.82 seconds.