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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+39x^84+58x^85+105x^86+212x^87+210x^88+220x^89+263x^90+248x^91+355x^92+360x^93+264x^94+314x^95+289x^96+226x^97+189x^98+158x^99+116x^100+104x^101+82x^102+62x^103+70x^104+38x^105+19x^106+18x^107+29x^108+14x^109+5x^110+12x^111+10x^112+4x^113+1x^116+1x^138

The gray image is a linear code over GF(2) with n=376, k=12 and d=168.
This code was found by Heurico 1.16 in 2.42 seconds.