The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+136x^84+276x^86+36x^87+406x^88+156x^89+406x^90+192x^91+405x^92+232x^93+448x^94+260x^95+354x^96+108x^97+190x^98+24x^99+162x^100+16x^101+120x^102+69x^104+48x^106+32x^108+16x^110+2x^112+1x^148

The gray image is a linear code over GF(2) with n=372, k=12 and d=168.
This code was found by Heurico 1.16 in 2.4 seconds.