The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  X  1 X^2+X X^2  X  1  1 X^2  1  1  0  1  1  1 X^2+X X^2  1  1  1  X X^2 X^2  1  1 X^2+X  1  1  0 X^2  0  1  1  0  X  1 X^2  1  1  1 X^2  1  X  1 X^2+X  1  1  X  X  1  1  1  1  1  1  1  1  1  1  1  1  1 X^2  1  0 X^2 X^2+X  X  1  1  1  1  1  1  1 X^2+X  1 X^2+X  0 X^2  1 X^2+X  1  1  0  1  1  1  1
 0  1  0  0  1 X^2+X+1  1 X^2  0 X^2 X^2+X+1  1  1  1  1  X X^2+1 X^2+X  1 X^2+X+1 X^2+1  1  X X^2+X  X  1  X X+1  0  0  1  1 X^2 X+1 X^2+X+1  1 X+1  0  1  1 X^2+X X+1 X^2+1  1  0 X+1  1  X X+1 X^2+X  1 X^2+1  1  X  1  1 X^2  1  1 X^2+1  1 X^2+1  X X+1 X^2+1  1  X X^2 X^2+1  1 X^2 X^2+X  0  0  1 X^2  1 X^2 X^2+X  0 X^2+X  X  0 X^2+1 X^2+X  1 X^2+X+1 X^2  1  1 X^2+X+1 X^2+X  0 X^2+X X^2 X^2+1  0 X^2+X X^2
 0  0  1  1 X+1  0  1 X+1  1  X X+1  X  0 X+1 X^2+X  1  1  X  1  X X^2+X X^2+X+1 X^2+1 X^2+X X+1  X  1  1  X X+1  0 X+1  1 X^2+X+1  0 X^2+1  X X^2+X X^2  1  1 X^2  1 X^2+X  1 X^2+X+1 X^2+1 X+1  X  X  X  X X^2+X+1 X^2 X^2+1  0  1 X^2+1 X+1 X+1 X^2 X^2+X+1 X^2 X^2+X+1  X X^2  1 X^2+1  0 X^2+X X^2+X+1 X^2+X  1 X^2 X+1  1 X^2  1 X+1  1 X^2+X+1 X^2+X+1 X^2  0  0 X^2+X+1 X^2+X  1 X^2+X  X X^2+1  1 X^2+X  0  1 X^2+1  X X^2+1  0
 0  0  0  X  X X^2+X X^2 X^2+X  0  0  X X^2 X^2+X X^2  0  0 X^2+X X^2  0 X^2+X  X X^2 X^2+X  X X^2+X X^2 X^2  X  X  0  X  X  X  0 X^2 X^2+X  0 X^2 X^2+X  X X^2+X X^2  0 X^2+X  X X^2+X X^2+X  0 X^2+X  X  X  0  0 X^2+X  X X^2+X X^2  X X^2+X  0  X X^2+X  X  0 X^2 X^2  X X^2 X^2 X^2 X^2  0 X^2+X  X  0  0  0  X X^2  0  X  X X^2  X  0 X^2 X^2 X^2+X X^2+X  X X^2 X^2+X X^2 X^2+X X^2+X  0 X^2+X  0  X
 0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0  0  0
 0  0  0  0  0 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 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 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0  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+58x^90+200x^91+377x^92+384x^93+578x^94+552x^95+735x^96+510x^97+704x^98+484x^99+711x^100+474x^101+512x^102+384x^103+403x^104+304x^105+246x^106+142x^107+126x^108+104x^109+98x^110+24x^111+35x^112+12x^113+10x^114+2x^115+10x^116+2x^117+4x^119+2x^120+2x^121+2x^122

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 5.61 seconds.