The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+114x^84+196x^85+300x^86+416x^87+384x^88+408x^89+377x^90+328x^91+254x^92+192x^93+201x^94+180x^95+183x^96+152x^97+97x^98+84x^99+67x^100+76x^101+43x^102+12x^103+15x^104+6x^106+4x^107+5x^108+1x^112

The gray image is a linear code over GF(2) with n=364, k=12 and d=168.
This code was found by Heurico 1.16 in 1.43 seconds.