The generator matrix

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

generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+193x^90+104x^91+442x^92+292x^93+629x^94+400x^95+710x^96+544x^97+736x^98+436x^99+710x^100+528x^101+618x^102+364x^103+458x^104+272x^105+270x^106+100x^107+151x^108+28x^109+70x^110+4x^111+54x^112+33x^114+25x^116+7x^118+5x^120+4x^122+2x^124+2x^132

The gray image is a linear code over GF(2) with n=396, k=13 and d=180.
This code was found by Heurico 1.16 in 7.74 seconds.