The generator matrix

 1  0  0  1  1  1 X^2+X  1  X  1  1  1  0  X  0  X  1  1  1  1 X^2+X  1 X^2+X X^2+X  1  1  1  0  0  X  1  1 X^2+X  1  1 X^2  1 X^2+X  1 X^2  1  1  1  1  1  1 X^2+X  1  X  0  1  1  1  1  1 X^2  1  0  X  1 X^2+X  0 X^2+X  1  1  1  0  1 X^2+X X^2  1  1 X^2  1 X^2+X  1 X^2  1  X  0  1 X^2 X^2  X X^2+X  0  1 X^2  X  0  0  1  0 X^2+X  1  1  1  1  1
 0  1  0  0  1 X+1  1 X^2+X  0 X+1 X^2+X  1  1  1 X^2+X  1  1 X^2+1  X X^2+X  1  1  1  1 X^2+X  1 X^2+X X^2  1  1 X^2+X+1  0  X X+1 X^2  1  0 X^2+X X^2+X+1  1 X^2+X+1  0 X^2 X^2+1 X^2+X+1  0  X X^2+X  1  1 X^2+X X^2+X+1  1 X+1  1  1  0  0  1  X  1  1  1 X^2+X X^2  0 X^2 X+1  1  1  1 X^2+X+1  1  1  1 X+1  X  1  1  X  X  1  1  1  1  1 X^2+X X^2+X X^2+X  1  X  1  1  1 X^2+1  0  1  X  0
 0  0  1  1  1  0  1  1  1 X^2+1  0 X^2  1 X^2  1 X^2+X X^2+X X+1 X^2+X X^2+X+1 X+1  X X^2+X X^2+X+1  X X+1  1  1 X^2 X^2+1  0 X^2+X  1  1 X+1 X^2+X+1  X  1 X^2+X+1  1  X  X  1 X^2+X X^2+X+1  X  1 X^2+1 X^2+1  X  0 X^2+X X^2+1  1  X  X X^2+X+1  1  X  X X^2+X+1 X^2+X X^2+X+1 X^2+X+1 X^2+X+1 X^2  1 X^2+X X^2+X+1 X^2+X+1 X^2+1 X^2+X+1 X^2+X X^2+1  X X^2+X+1  1  X  X  1  X X^2+X+1 X+1  X  0  X X^2+X  1  1 X^2+X  1  X  1  0  0 X^2+1 X^2+X  0  X
 0  0  0  X  0  0 X^2 X^2 X^2 X^2+X  X  X X^2+X  X  X  0 X^2 X^2+X  0 X^2+X  X  X  X  0  X X^2 X^2 X^2+X  X X^2+X  X X^2+X X^2+X  X X^2+X  0 X^2+X X^2+X X^2+X X^2+X X^2+X X^2  X  0  0 X^2 X^2  X  X X^2+X X^2+X  X X^2+X  0  X X^2  X  0  0  X X^2+X  X  0 X^2+X X^2  0  0  X X^2+X X^2+X X^2+X X^2  0 X^2+X X^2  0 X^2+X  X X^2+X X^2 X^2 X^2  X  X  0  0  0  0 X^2+X X^2+X  X X^2  X  0 X^2+X X^2+X X^2+X X^2  X
 0  0  0  0  X X^2  X X^2+X X^2+X X^2  X X^2+X  0  X  0 X^2+X  X X^2+X  X X^2+X X^2+X X^2  0  0  0  0  0 X^2+X  0 X^2 X^2 X^2+X X^2+X X^2+X  X  X  0 X^2 X^2  X X^2+X X^2 X^2 X^2  0  0  0 X^2+X  0 X^2+X X^2 X^2+X  0  X  X  X X^2+X X^2  0 X^2+X X^2 X^2+X  X  X X^2  X X^2+X  0  0  X X^2  X  0 X^2+X  X X^2 X^2  0  X X^2  0  0 X^2+X X^2 X^2 X^2+X X^2+X X^2+X  X  X  X X^2  0  X X^2 X^2+X  X  X  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+44x^90+186x^91+398x^92+416x^93+582x^94+528x^95+689x^96+476x^97+758x^98+534x^99+656x^100+504x^101+612x^102+382x^103+335x^104+258x^105+216x^106+166x^107+179x^108+62x^109+76x^110+46x^111+39x^112+2x^113+10x^114+8x^115+7x^116+10x^117+6x^118+4x^119+2x^123

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 6.23 seconds.