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

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+45x^84+60x^85+117x^86+140x^87+242x^88+130x^89+415x^90+126x^91+521x^92+122x^93+530x^94+84x^95+478x^96+80x^97+348x^98+86x^99+173x^100+72x^101+75x^102+42x^103+44x^104+38x^105+33x^106+28x^107+27x^108+10x^109+13x^110+6x^111+3x^112+4x^114+2x^116+1x^142

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 2.45 seconds.