The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  1  X  1  1  0  X  1  X  1  1  0  1  1  1  1 X^2+X  1  1  0  1  1 X^2  1  1  1  X  1 X^2  X  1  1  1  X  1  1  0  1  1  1 X^2+X  1  1  X  1  1  1 X^2  1  1  1  1 X^2  X  1  0  X  1  1  1  0  1  1  1 X^2+X  1  1  1  X  1  1 X^2 X^2+X X^2  X  1  1  1  1  1  1 X^2+X  X  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X X^2+1  1  0 X^2+1  1  1 X^2+X  1 X+1 X^2+1  1 X+1 X^2  X  X  1 X^2+X+1 X^2+X  1  1  0  1 X+1  0  1  1 X^2+X  1  1 X^2+X+1 X^2 X^2+1  1  X X^2+1  1  1  0  X  1 X^2+X X+1  1 X^2+1  X  1  1  0 X^2+X X+1 X^2+X+1  1  1 X^2  1  1 X+1 X^2+1 X^2+1  1 X^2+X+1 X^2+1  X  1 X^2 X+1  1  1 X^2+X+1  0  1  1  0  0 X^2 X^2 X^2+X X^2+1 X^2+X+1  0  1  1 X^2
 0  0  X  0 X^2+X  0 X^2+X  0 X^2+X  X X^2 X^2+X  0 X^2  0  X  0 X^2 X^2 X^2+X X^2+X X^2+X  X  X  0 X^2  X  X X^2  X  0 X^2+X  0  X X^2+X  X X^2  X X^2+X  0 X^2+X  0  X X^2+X  0  0 X^2  0  X X^2+X  X  X X^2 X^2+X X^2 X^2 X^2+X X^2 X^2 X^2+X  0  0 X^2  0 X^2+X X^2+X  0  X  X  X  0  0 X^2+X X^2 X^2+X X^2+X X^2 X^2 X^2 X^2  X  0  X X^2+X  0  0 X^2+X  X X^2+X X^2+X  0  X  X
 0  0  0 X^2  0  0  0  0  0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0
 0  0  0  0 X^2  0  0  0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0 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 X^2  0 X^2 X^2  0 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 X^2  0  0  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0
 0  0  0  0  0 X^2  0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2  0  0 X^2  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 X^2 X^2  0  0 X^2  0  0  0  0  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 X^2 X^2 X^2 X^2  0 X^2  0 X^2
 0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2
 0  0  0  0  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  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 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 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+46x^83+85x^84+252x^85+256x^86+448x^87+356x^88+654x^89+441x^90+754x^91+493x^92+864x^93+421x^94+824x^95+388x^96+554x^97+299x^98+406x^99+157x^100+208x^101+80x^102+52x^103+37x^104+22x^105+23x^106+26x^107+9x^108+4x^109+11x^110+4x^111+9x^112+2x^113+3x^114+1x^120+2x^122

The gray image is a linear code over GF(2) with n=372, k=13 and d=166.
This code was found by Heurico 1.16 in 7.11 seconds.