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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+48x^83+108x^84+102x^85+74x^86+188x^87+272x^88+234x^89+242x^90+308x^91+388x^92+350x^93+301x^94+328x^95+314x^96+220x^97+123x^98+76x^99+119x^100+82x^101+14x^102+56x^103+44x^104+26x^105+10x^106+16x^107+32x^108+10x^109+3x^110+4x^111+1x^112+1x^114+1x^148

The gray image is a linear code over GF(2) with n=372, k=12 and d=166.
This code was found by Heurico 1.16 in 6.78 seconds.