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

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+217x^84+184x^85+562x^86+444x^87+774x^88+496x^89+802x^90+564x^91+780x^92+448x^93+676x^94+316x^95+546x^96+312x^97+320x^98+164x^99+216x^100+88x^101+102x^102+40x^103+66x^104+8x^105+30x^106+8x^107+18x^108+4x^110+5x^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 6.13 seconds.