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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+30x^82+78x^83+128x^84+144x^85+185x^86+224x^87+257x^88+296x^89+329x^90+342x^91+317x^92+308x^93+294x^94+276x^95+194x^96+152x^97+103x^98+106x^99+83x^100+40x^101+57x^102+40x^103+32x^104+16x^105+22x^106+18x^107+12x^108+4x^109+2x^110+4x^111+1x^118+1x^142

The gray image is a linear code over GF(2) with n=368, k=12 and d=164.
This code was found by Heurico 1.16 in 2.35 seconds.