The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+178x^83+289x^84+562x^85+394x^86+750x^87+481x^88+884x^89+506x^90+752x^91+385x^92+698x^93+354x^94+486x^95+321x^96+404x^97+170x^98+232x^99+99x^100+118x^101+44x^102+28x^103+17x^104+16x^105+4x^106+6x^107+3x^108+6x^109+4x^112

The gray image is a linear code over GF(2) with n=364, k=13 and d=166.
This code was found by Heurico 1.16 in 10.2 seconds.